Pick an online or physical network (choose one with ~1k-10k nodes). See Datasets (Module 1). Submit code or link of code.
Provide a good visualization of your network.
Find the characteristics of your network (centralities).
Answer additional questions:
- How does your network cluster?
- What structural properties can you detect?
- How many of these relations would you consider “strong”?
Some ideas: #Nodes, #Edges, Diameter, Isolated nodes, Density, Max degree, Min degree, Average degree, Size of largest components, Number of connected components, degree of assortativity etc.
Link : roadNet-CA.txt
Dataset consists of network of roads in California. It is an undirected graph (one way roads are avoided).
Nodes represent the Intersections and endpoints of roads.
Edges represent road intersections.
Only first N lines in the txt file of dataset are used for this activity
import networkx as nx
import matplotlib.pyplot as plt
import pandas as pd
# Importing data (Only first N lines in the txt file of dataset are used for this activity)
N = 3000
# Read the space-separated text file
with open('roadNet-CA.txt', 'r') as file:
lines = file.readlines()
lines = lines[:N]
# printing the last line mentioned in the txt file of dataset
lines[-1]
'12608\t12604\n'
# Initialize a graph
"""
There are errors while parsing the txt file due to newlines , tabs , whitespaces etc.
In such cases a ValueError is raised.
The output of this cell returns the line in txt file that raises the ValueError.
"""
G = nx.Graph()
try :
for idx, line in enumerate(lines):
# Split space-separated values
node1, node2 = map(int, line.rstrip().split("\t"))
G.add_edge(node1, node2)
except ValueError :
print("Exception occured at : ",node1 , node2)
plt.figure(figsize=(40,28))
nx.draw(G, pos = nx.nx_pydot.graphviz_layout(G), node_size=1200, node_color='lightblue', linewidths=0.25,font_size=10, with_labels=True)
plt.show()
#Kamada Kawai
plt.figure(figsize=(20,14))
nx.draw_kamada_kawai(G , with_labels=True,node_size=1200,linewidths=0.25,font_size=10)
# nx.draw(G, pos = nx.nx_pydot.graphviz_layout(G), \
# node_size=1200, node_color='lightblue', linewidths=0.25, \
# font_size=10, with_labels=True)
plt.title("Kamada Kawai")
Text(0.5, 1.0, 'Kamada Kawai')
# Now G contains the filtered graph. You can print or visualize it.
print("Nodes:", G.nodes())
print("Edges:", G.edges())
print(f"Total number of nodes : {len(G.nodes())}")
print(f"Total number of edges : {len(G.edges())}")
Nodes: [0, 1, 2, 469, 6, 385, 3, 380, 37415, 5, 384, 386, 4, 419, 422, 98, 420, 35698, 183, 423, 470, 35729, 35709, 7, 8, 9, 79, 33, 10, 84, 78, 119, 32, 34, 11, 110, 83, 85, 12, 111, 112, 13, 95, 108, 14, 94, 109, 113, 123, 96, 15, 16, 77, 93, 17, 18, 3254, 19, 3255, 36971, 20, 23, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 3247, 3253, 35943, 3246, 3248, 3249, 3204, 35950, 2203, 3252, 3257, 2146, 2204, 35, 36, 50, 1199, 37, 35885, 1645159, 49, 185, 1198, 1205, 38, 1641586, 35884, 1645157, 1645156, 1648644, 39, 1633418, 40, 1641587, 41, 1641577, 1641576, 1641606, 42, 1641355, 1641363, 43, 1639779, 1628954, 1639780, 44, 45, 1542024, 46, 1154, 1538392, 1542023, 1639781, 47, 27108, 27325, 1153, 1155, 1538362, 1538390, 1538391, 48, 27107, 27250, 27323, 27335, 27343, 184, 27342, 35887, 39411, 35886, 52, 53, 54, 4152, 223, 225, 4120, 4148, 4153, 4156, 224, 3937, 4113, 4114, 4154, 55, 56, 57, 1068, 1099, 76, 1069, 58, 1071, 1072, 1096, 1116, 36235, 74, 1075, 59, 1089, 32419, 1070, 1098, 1110, 60, 61, 62, 171, 172, 63, 64, 339, 65, 2220, 338, 341, 36187, 66, 2155, 2157, 2219, 2221, 67, 68, 2254, 2156, 2158, 2161, 69, 70, 2251, 2252, 71, 1052, 72, 1049, 1050, 2256, 2258, 73, 1048, 75, 1073, 1076, 80, 455, 81, 105, 454, 116, 118, 342, 82, 104, 107, 124, 114, 86, 87, 88, 128, 315, 97, 134, 89, 146, 129, 452, 135, 316, 90, 91, 92, 133, 132, 139, 410, 471, 35881, 35728, 99, 100, 101, 136, 6790, 103, 137, 6760, 102, 6771, 421, 6792, 6805, 6791, 6802, 6713, 6748, 6764, 6757, 6733, 6738, 6772, 6722, 6734, 6736, 6737, 6765, 6711, 6714, 6717, 6747, 6759, 106, 151, 150, 152, 115, 117, 120, 169, 122, 121, 170, 36184, 453, 340, 36185, 125, 126, 127, 176, 355, 383, 354, 353, 443, 381, 153, 155, 37498, 356, 358, 442, 130, 154, 444, 145, 41762, 131, 359, 36966, 41761, 138, 387, 6770, 6793, 6797, 6763, 6766, 388, 140, 141, 142, 391, 389, 392, 390, 143, 144, 177, 178, 186, 187, 41763, 147, 148, 149, 166, 167, 168, 317, 162, 36963, 303, 318, 357, 156, 157, 158, 1057, 175, 1093, 159, 1058, 173, 160, 1056, 161, 36965, 1055, 36964, 163, 164, 165, 174, 314, 179, 180, 181, 425, 42066, 379, 434, 182, 426, 35695, 424, 42067, 42074, 435, 460, 42076, 35699, 35696, 35703, 35746, 35890, 35891, 35892, 35895, 312, 41764, 188, 189, 190, 369, 191, 193, 351, 367, 368, 441, 360, 440, 192, 195, 461, 350, 371, 194, 201, 203, 375, 202, 352, 462, 373, 374, 42079, 196, 197, 198, 7178, 200, 23401, 199, 15697, 7176, 7179, 503, 24015, 7332, 15686, 205, 372, 204, 206, 213, 209, 207, 433, 211, 212, 208, 344, 432, 260, 343, 210, 235, 227, 230, 236, 41752, 370, 41755, 229, 261, 226, 234, 214, 215, 216, 309, 308, 310, 311, 313, 307, 36178, 217, 218, 222, 7925, 219, 7923, 221, 4895, 4899, 7926, 220, 7922, 7924, 7931, 7921, 7901, 7918, 7932, 7937, 7881, 7888, 7882, 7887, 4896, 4898, 7927, 43222, 4109, 4110, 3940, 3938, 4100, 4096, 4099, 4117, 4149, 228, 251, 255, 273, 233, 254, 259, 42078, 231, 232, 289, 245, 276, 288, 250, 244, 246, 247, 274, 275, 277, 278, 41753, 41754, 243, 248, 237, 238, 239, 3930, 241, 3295, 240, 3271, 3889, 3931, 3292, 3296, 4080, 3276, 3272, 3888, 3890, 3275, 3277, 3291, 242, 36218, 253, 249, 36219, 252, 1159, 1158, 256, 257, 258, 272, 35850, 42587, 271, 35851, 36974, 42588, 42586, 36975, 42077, 262, 263, 264, 549, 550, 265, 267, 548, 279, 36211, 525, 36210, 266, 268, 1918, 269, 290, 297, 1919, 36987, 270, 42585, 291, 327, 1920, 296, 42583, 301, 42582, 280, 281, 282, 35769, 285, 42598, 283, 286, 35773, 35768, 35852, 284, 35845, 35846, 35841, 35854, 42600, 287, 35772, 35775, 35847, 35844, 35771, 35774, 42570, 35848, 36212, 36215, 292, 293, 480, 294, 35805, 479, 295, 35795, 35796, 35797, 35799, 35770, 42584, 298, 299, 300, 35863, 302, 304, 305, 1092, 306, 1103, 1156, 1090, 1100, 1143, 1101, 1124, 1157, 1165, 319, 320, 321, 322, 323, 326, 3481, 324, 325, 3479, 3430, 3432, 4173, 4175, 3434, 3431, 3475, 3480, 4181, 3482, 3369, 3429, 3415, 3427, 3416, 3474, 3476, 3424, 4178, 4174, 4179, 4182, 4132, 36979, 36980, 328, 329, 330, 40094, 11435, 12041, 11433, 11434, 12022, 12058, 331, 332, 333, 35734, 404, 36967, 35731, 35735, 405, 334, 335, 337, 336, 12138, 12176, 12175, 12202, 12032, 12033, 36186, 2202, 42082, 42081, 42594, 42595, 345, 346, 347, 3294, 349, 3290, 3338, 348, 3285, 3339, 3293, 3319, 3284, 3286, 3314, 3340, 3347, 36261, 382, 361, 362, 363, 41760, 364, 41759, 365, 366, 41758, 41756, 41757, 42597, 376, 377, 378, 16472, 12226, 12227, 12230, 12247, 1176, 37523, 12225, 16399, 12228, 12229, 12231, 12248, 37522, 393, 468, 394, 395, 396, 7162, 399, 42094, 397, 7163, 7184, 7186, 398, 457, 42329, 3263, 3261, 3264, 21184, 3262, 20839, 456, 459, 20849, 41945, 400, 401, 403, 592, 402, 41613, 450, 591, 2661, 445, 2625, 42211, 446, 40748, 449, 451, 411, 472, 36193, 406, 407, 408, 6024, 409, 6025, 36209, 6300, 6048, 5636, 6301, 6049, 36224, 6302, 5637, 5638, 473, 35717, 412, 413, 414, 683, 418, 755, 7795, 415, 682, 677, 699, 417, 7794, 756, 758, 7793, 7792, 416, 681, 1025, 1024, 7757, 1023, 7756, 7755, 7787, 35405, 35710, 6769, 6794, 6798, 427, 35747, 42052, 35748, 35749, 42058, 42053, 42054, 428, 429, 430, 7190, 40005, 431, 12629, 40022, 5927, 5970, 611, 7156, 40006, 5925, 6855, 40015, 40017, 40023, 5928, 5929, 5971, 7130, 5926, 436, 437, 439, 23898, 438, 33468, 20655, 23896, 23897, 40853, 15713, 33467, 33469, 39690, 39962, 15712, 15714, 40848, 39978, 447, 2648, 40749, 42208, 448, 2647, 2649, 2646, 2934, 2938, 2652, 458, 21970, 20811, 20812, 21121, 20869, 21969, 20848, 21122, 41944, 42092, 20813, 20772, 20803, 42073, 42596, 463, 464, 467, 20571, 465, 5314, 5315, 466, 20718, 25505, 20572, 20576, 20725, 40105, 41916, 5312, 42134, 5313, 41917, 40104, 40110, 20554, 20716, 20723, 20534, 20556, 35739, 474, 475, 476, 1594983, 478, 477, 36977, 36986, 1594984, 1610675, 36978, 1594985, 35803, 36976, 35800, 35809, 35818, 481, 482, 507, 483, 506, 21548, 484, 4074, 5805, 485, 4040, 4041, 5937, 486, 4039, 487, 5809, 488, 489, 5807, 5943, 490, 5808, 491, 5951, 492, 4077, 5948, 493, 4076, 4075, 5954, 494, 7131, 5813, 495, 7133, 7132, 7152, 496, 7154, 497, 7145, 7153, 7161, 7206, 498, 7142, 7146, 7207, 499, 7141, 500, 501, 502, 7164, 7165, 23431, 7144, 7166, 7180, 504, 505, 4044, 24013, 24012, 21549, 24014, 509, 510, 511, 6685, 513, 6681, 512, 6684, 6696, 6679, 6699, 6616, 6621, 6682, 6604, 6683, 6700, 6963, 6953, 6605, 6606, 6620, 6893, 514, 515, 516, 1119, 5892, 1120, 5883, 5884, 5894, 1118, 5890, 5896, 5902, 5874, 5882, 5893, 5862, 5854, 5864, 517, 518, 519, 8146, 520, 8154, 8155, 8145, 8153, 8137, 8147, 8156, 8152, 8157, 8124, 8148, 8151, 521, 522, 36982, 36992, 523, 36983, 36991, 36993, 524, 526, 36201, 1166, 36200, 36202, 1167, 527, 528, 529, 532, 531, 534, 5432, 530, 5418, 533, 5444, 5449, 5421, 5422, 535, 5433, 5438, 5423, 5368, 5417, 5424, 5367, 5391, 5420, 5450, 5445, 5448, 5443, 5437, 5442, 7984, 5431, 5436, 5447, 536, 537, 541, 542, 538, 36981, 540, 543, 539, 36985, 1603443, 1603442, 36984, 1607299, 1594982, 1607298, 1593601, 544, 545, 546, 4371, 4373, 547, 4481, 4372, 4476, 4487, 4485, 4480, 4484, 551, 552, 553, 559, 555, 556, 554, 36197, 558, 560, 557, 1189, 36196, 36207, 561, 1187, 1190, 568, 2023, 2025, 37003, 2024, 37015, 37004, 37005, 573, 562, 563, 566, 567, 564, 37017, 565, 569, 37020, 37016, 37018, 37019, 579, 577, 578, 570, 571, 572, 589, 574, 580, 575, 587, 576, 588, 590, 581, 582, 583, 22099, 586, 584, 22098, 21926, 585, 944, 21927, 22151, 22105, 22107, 22113, 31944, 22108, 17398, 22106, 2575, 2653, 2935, 2660, 2671, 593, 596, 594, 595, 36021, 36020, 36017, 36022, 597, 598, 599, 6851, 7251, 7066, 6859, 6007, 7261, 7250, 7263, 7068, 7351, 6858, 7067, 600, 601, 603, 663, 3470, 602, 3484, 3498, 664, 665, 3469, 3473, 3494, 3452, 3478, 3497, 3504, 3453, 3439, 3451, 604, 605, 606, 676, 36183, 608, 607, 41826, 675, 695, 36179, 36182, 36190, 673, 41825, 41892, 672, 674, 692, 609, 610, 614, 40021, 6013, 613, 40010, 40020, 612, 7188, 6012, 6014, 40004, 7189, 7192, 40009, 615, 616, 617, 1494580, 624, 661, 618, 1494584, 623, 662, 109371, 619, 37031, 620, 36225, 37030, 37033, 1494587, 621, 836, 834, 622, 768, 109373, 109372, 139985, 625, 626, 648, 12653, 627, 639, 12794, 12654, 12655, 628, 629, 630, 12608, 631, 12604] Edges: [(0, 1), (0, 2), (0, 469), (1, 6), (1, 385), (2, 3), (469, 380), (469, 37415), (6, 5), (385, 384), (385, 386), (3, 4), (3, 419), (3, 422), (380, 183), (380, 379), (37415, 422), (5, 4), (5, 98), (384, 383), (384, 468), (386, 387), (386, 331), (386, 36967), (4, 98), (4, 420), (419, 420), (419, 35698), (422, 183), (422, 423), (98, 470), (98, 35729), (420, 35709), (35698, 423), (35698, 35405), (35698, 35709), (183, 180), (183, 182), (423, 182), (470, 410), (470, 471), (470, 35881), (35729, 35728), (35729, 35881), (35709, 35710), (7, 8), (7, 9), (7, 79), (8, 33), (9, 10), (9, 84), (79, 78), (79, 119), (33, 32), (33, 34), (10, 11), (10, 84), (10, 110), (84, 83), (84, 85), (78, 80), (78, 455), (119, 116), (119, 118), (119, 342), (32, 31), (32, 2203), (11, 12), (11, 110), (110, 111), (110, 112), (83, 82), (83, 112), (12, 13), (12, 95), (12, 108), (111, 112), (111, 109), (112, 114), (13, 14), (13, 94), (13, 95), (95, 96), (108, 109), (108, 113), (108, 123), (14, 15), (14, 16), (14, 77), (94, 77), (94, 93), (109, 113), (113, 82), (123, 97), (123, 124), (96, 97), (16, 17), (77, 17), (93, 92), (93, 133), (17, 18), (17, 3254), (18, 19), (18, 3254), (3254, 3255), (3254, 36971), (19, 20), (19, 23), (3255, 29), (3255, 3253), (3255, 35943), (20, 21), (20, 22), (23, 24), (23, 25), (25, 26), (25, 27), (27, 28), (27, 29), (29, 30), (30, 31), (30, 3247), (30, 3253), (31, 3246), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 2203), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35, 36), (35, 50), (35, 1199), (36, 37), (36, 35885), (36, 1645159), (50, 49), (50, 185), (1199, 1198), (1199, 1205), (37, 38), (37, 1641586), (35885, 35884), (35885, 1645157), (1645159, 1645156), (1645159, 1645157), (1645159, 1648644), (49, 48), (49, 184), (185, 184), (185, 1198), (1198, 1205), (1198, 35895), (38, 39), (38, 1641586), (1641586, 1633418), (39, 40), (39, 1641587), (1633418, 1641587), (40, 41), (40, 1641577), (1641587, 1641576), (1641587, 1641606), (41, 42), (41, 1641355), (1641577, 1641363), (1641577, 1641576), (42, 43), (42, 1639779), (1641355, 1628954), (1641355, 1639780), (1641355, 1641363), (43, 44), (43, 1639779), (1639779, 1639780), (44, 45), (44, 1542024), (45, 46), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 47), (46, 27108), (46, 27325), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (47, 48), (47, 27325), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (52, 53), (52, 54), (52, 4152), (53, 54), (53, 223), (53, 225), (54, 4120), (4152, 4148), (4152, 4153), (4152, 4156), (223, 224), (223, 3937), (223, 4113), (225, 224), (225, 4114), (225, 4148), (4120, 3937), (4120, 4153), (4120, 4154), (4148, 4117), (4148, 4149), (224, 4109), (224, 4110), (3937, 3938), (3937, 3940), (4113, 3940), (4113, 4110), (4114, 4109), (4114, 4099), (4114, 4117), (55, 56), (55, 57), (55, 1068), (55, 1099), (56, 76), (56, 1069), (57, 58), (57, 1071), (57, 1072), (1068, 1069), (1068, 1096), (1068, 1116), (1068, 36235), (76, 74), (76, 1075), (1069, 1116), (58, 59), (58, 1089), (58, 32419), (1071, 1070), (1071, 1098), (1071, 1110), (1072, 1070), (1072, 32419), (74, 72), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (59, 62), (1089, 62), (1089, 171), (1089, 172), (1070, 1093), (62, 63), (171, 120), (171, 121), (171, 172), (172, 173), (63, 64), (63, 339), (64, 65), (64, 2220), (339, 338), (339, 341), (339, 36187), (65, 66), (65, 2155), (65, 2157), (2220, 2219), (2220, 2221), (338, 342), (338, 340), (338, 36186), (341, 340), (341, 2202), (66, 67), (66, 68), (66, 2254), (2155, 2156), (2155, 2254), (2157, 2158), (2157, 2161), (2157, 2219), (68, 69), (68, 70), (68, 2251), (2254, 2252), (70, 71), (70, 1052), (70, 2251), (2251, 2252), (71, 72), (71, 1049), (1052, 1050), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (1049, 1050), (80, 81), (455, 105), (455, 454), (81, 82), (81, 104), (105, 104), (105, 106), (454, 151), (454, 117), (454, 453), (116, 115), (116, 122), (118, 117), (118, 453), (342, 340), (342, 36185), (104, 107), (104, 124), (107, 106), (107, 124), (107, 135), (86, 87), (86, 88), (86, 128), (86, 315), (87, 97), (87, 134), (88, 89), (88, 128), (128, 129), (128, 452), (315, 146), (97, 134), (134, 135), (134, 316), (89, 90), (89, 91), (146, 143), (146, 145), (129, 130), (129, 154), (129, 444), (452, 145), (452, 41762), (135, 106), (135, 316), (316, 150), (91, 92), (133, 132), (133, 139), (132, 130), (132, 138), (139, 138), (139, 387), (410, 405), (410, 411), (410, 472), (471, 472), (35881, 35739), (99, 100), (99, 101), (99, 136), (99, 6790), (100, 103), (100, 137), (100, 6760), (101, 102), (101, 6771), (101, 6790), (136, 137), (136, 421), (136, 6792), (136, 6805), (6790, 6791), (6790, 6792), (6790, 6802), (103, 102), (103, 6713), (103, 6748), (137, 421), (137, 6764), (6760, 6748), (6760, 6757), (6760, 6764), (102, 6733), (102, 6738), (6771, 6738), (6771, 6772), (6771, 6791), (421, 6770), (421, 6793), (6792, 6802), (6792, 6805), (6805, 6793), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6713, 6734), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6733, 6734), (6733, 6736), (6738, 6736), (6738, 6737), (6738, 6765), (6738, 6772), (106, 151), (151, 150), (151, 152), (150, 149), (152, 169), (152, 148), (115, 117), (115, 120), (115, 169), (117, 169), (120, 121), (120, 170), (122, 121), (122, 36184), (125, 126), (125, 127), (125, 176), (125, 355), (125, 383), (126, 127), (126, 176), (126, 354), (127, 353), (127, 443), (176, 153), (176, 155), (355, 381), (383, 381), (383, 37498), (354, 153), (354, 353), (353, 356), (353, 358), (443, 442), (381, 382), (153, 154), (153, 155), (155, 138), (37498, 468), (356, 154), (356, 357), (356, 359), (358, 189), (358, 440), (442, 441), (442, 468), (130, 131), (130, 154), (444, 359), (444, 36966), (444, 41761), (145, 144), (145, 41763), (359, 360), (359, 361), (36966, 361), (387, 388), (6770, 6769), (6770, 6793), (6793, 6794), (6793, 6798), (388, 141), (388, 392), (140, 141), (140, 142), (140, 391), (141, 142), (142, 389), (391, 389), (389, 390), (392, 382), (392, 393), (143, 144), (143, 177), (144, 178), (144, 186), (177, 178), (177, 187), (178, 186), (186, 187), (187, 314), (147, 148), (147, 149), (147, 166), (147, 167), (148, 168), (149, 317), (166, 162), (166, 36963), (317, 303), (317, 318), (162, 161), (162, 163), (303, 1056), (303, 302), (303, 1092), (357, 189), (357, 360), (156, 157), (156, 158), (156, 1057), (157, 175), (157, 1093), (158, 159), (158, 1057), (1057, 1058), (175, 173), (175, 1093), (159, 160), (159, 1056), (173, 174), (160, 161), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 312), (314, 41764), (179, 180), (179, 181), (179, 425), (179, 42066), (180, 379), (180, 434), (181, 182), (181, 426), (181, 35695), (425, 424), (425, 426), (425, 42066), (42066, 42067), (42066, 42074), (379, 435), (434, 435), (434, 460), (434, 42076), (182, 35699), (426, 424), (426, 35746), (35695, 35696), (35695, 35703), (35695, 35746), (424, 427), (42067, 42052), (42074, 460), (42074, 42073), (42074, 42596), (435, 461), (460, 375), (460, 42079), (35703, 35746), (312, 215), (312, 313), (188, 189), (188, 190), (188, 369), (189, 191), (190, 191), (190, 193), (190, 351), (369, 367), (369, 368), (191, 441), (193, 192), (193, 195), (193, 461), (351, 350), (351, 371), (367, 366), (367, 368), (441, 440), (360, 362), (192, 194), (192, 201), (195, 194), (195, 462), (461, 462), (350, 352), (350, 211), (371, 211), (371, 370), (371, 41755), (194, 203), (194, 375), (201, 202), (201, 352), (203, 202), (203, 373), (375, 374), (375, 42079), (352, 373), (373, 205), (373, 372), (374, 205), (374, 209), (374, 42079), (42079, 42597), (196, 197), (196, 198), (196, 7178), (197, 200), (197, 23401), (198, 199), (198, 15697), (7178, 7176), (7178, 7179), (200, 199), (23401, 503), (23401, 24015), (15697, 7332), (15697, 15686), (7179, 502), (7179, 7180), (503, 502), (503, 504), (205, 204), (205, 209), (372, 204), (372, 213), (204, 206), (204, 213), (206, 207), (206, 433), (213, 211), (213, 212), (209, 208), (209, 344), (207, 208), (207, 432), (211, 210), (212, 210), (212, 227), (212, 230), (208, 344), (208, 432), (344, 343), (432, 260), (432, 343), (260, 230), (260, 259), (260, 42078), (343, 42082), (210, 235), (235, 236), (235, 41752), (227, 226), (227, 234), (230, 229), (230, 261), (236, 232), (236, 250), (41752, 41753), (41752, 41754), (370, 363), (370, 366), (370, 41758), (41755, 41756), (41755, 41757), (229, 228), (229, 255), (226, 228), (226, 251), (234, 251), (234, 233), (214, 215), (214, 216), (214, 309), (215, 216), (216, 308), (309, 310), (309, 311), (308, 307), (308, 36178), (307, 1159), (307, 306), (36178, 242), (36178, 253), (217, 218), (217, 222), (217, 7925), (218, 219), (218, 7923), (222, 221), (222, 4895), (222, 4899), (222, 7926), (219, 220), (219, 7922), (7923, 7922), (7923, 7924), (221, 220), (221, 7901), (221, 7918), (4895, 7918), (4895, 4896), (4899, 4898), (4899, 7926), (7926, 7927), (7926, 43222), (220, 7931), (7922, 7921), (7931, 7932), (7931, 7937), (7901, 7881), (7901, 7888), (7901, 7932), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (228, 255), (251, 273), (255, 254), (273, 233), (273, 274), (273, 275), (233, 231), (233, 276), (254, 256), (259, 258), (259, 35851), (259, 42078), (42078, 42077), (231, 232), (231, 289), (232, 245), (289, 276), (289, 288), (245, 244), (245, 246), (245, 247), (276, 277), (276, 278), (288, 263), (288, 36211), (250, 243), (250, 247), (250, 248), (244, 242), (244, 36218), (247, 248), (278, 263), (278, 279), (243, 242), (243, 248), (248, 249), (237, 238), (237, 239), (237, 3930), (238, 239), (238, 241), (238, 3295), (239, 240), (239, 3271), (239, 3889), (3930, 3889), (3930, 3931), (241, 240), (241, 3292), (3295, 3296), (3295, 4080), (240, 3276), (3271, 3272), (3271, 3888), (3889, 3890), (3292, 3276), (3292, 3291), (3296, 3291), (3296, 3338), (3276, 3275), (3276, 3277), (3291, 346), (36218, 36219), (253, 252), (252, 1159), (1159, 1158), (1158, 306), (1158, 1157), (256, 257), (257, 258), (257, 272), (258, 35850), (258, 42587), (272, 271), (272, 42587), (35850, 35851), (35850, 36974), (35850, 42588), (42587, 42586), (271, 270), (271, 301), (35851, 36974), (35851, 36975), (36974, 35863), (42586, 299), (42586, 42582), (262, 263), (262, 264), (262, 549), (263, 550), (264, 265), (264, 267), (549, 548), (550, 525), (550, 36210), (265, 266), (267, 268), (267, 1918), (548, 522), (36211, 36212), (36211, 36215), (525, 523), (525, 526), (268, 269), (268, 290), (268, 297), (1918, 1919), (1918, 36987), (269, 270), (269, 42585), (290, 291), (290, 327), (290, 1920), (297, 296), (297, 42583), (1919, 327), (1919, 36979), (1919, 36980), (270, 301), (291, 292), (291, 327), (296, 295), (296, 42583), (42583, 42582), (42583, 42584), (301, 42582), (42582, 298), (280, 281), (280, 282), (280, 35769), (281, 285), (281, 42598), (282, 283), (282, 286), (282, 35773), (35769, 35768), (35769, 35852), (285, 284), (285, 35845), (285, 35846), (42598, 35841), (42598, 35854), (42598, 42600), (283, 284), (283, 286), (286, 287), (286, 35772), (35768, 35863), (284, 287), (284, 35846), (35845, 35846), (35845, 35844), (35846, 35847), (287, 35775), (287, 35847), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (292, 293), (292, 480), (293, 294), (293, 480), (293, 35805), (480, 479), (294, 295), (294, 35795), (294, 35796), (479, 474), (479, 478), (35795, 35796), (35795, 35770), (35796, 35797), (35796, 35799), (35770, 35863), (298, 299), (298, 300), (299, 300), (300, 35863), (302, 304), (302, 305), (305, 306), (305, 1103), (305, 1156), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (1156, 1157), (1156, 1165), (1165, 1166), (319, 320), (321, 322), (321, 323), (321, 326), (321, 3481), (322, 324), (322, 325), (322, 3479), (323, 324), (323, 3430), (323, 3432), (326, 325), (326, 4173), (326, 4175), (3481, 3434), (3481, 4173), (324, 3431), (324, 3475), (325, 3480), (325, 4175), (325, 4181), (3479, 3475), (3479, 3480), (3479, 3482), (3430, 3415), (3430, 3427), (3430, 3431), (3432, 3369), (3432, 3429), (3432, 3434), (4173, 4132), (4173, 4174), (4175, 4174), (4175, 4179), (3431, 3416), (3431, 3474), (3475, 3474), (3475, 3476), (3480, 3424), (3480, 4178), (4181, 4178), (4181, 4179), (4181, 4182), (36979, 475), (36979, 36986), (328, 329), (328, 330), (328, 40094), (329, 330), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (331, 332), (331, 333), (332, 333), (332, 35734), (333, 404), (35734, 35731), (35734, 35735), (404, 405), (405, 411), (334, 335), (334, 337), (335, 336), (337, 336), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (345, 346), (345, 347), (345, 3294), (346, 349), (346, 3290), (346, 3338), (347, 348), (347, 3285), (347, 3294), (3294, 3290), (349, 348), (349, 3338), (349, 3339), (3290, 3293), (348, 3319), (3285, 3284), (3285, 3286), (3285, 3319), (3339, 3319), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (382, 393), (361, 362), (362, 363), (362, 41760), (363, 364), (363, 41759), (364, 365), (364, 366), (376, 377), (376, 378), (376, 16472), (377, 378), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (394, 395), (394, 396), (394, 7162), (395, 399), (395, 42094), (396, 397), (396, 7163), (7162, 7163), (7162, 7184), (7162, 7186), (399, 398), (399, 457), (42094, 457), (42094, 7184), (42094, 42329), (397, 398), (397, 3263), (7163, 3263), (7163, 7186), (398, 3261), (457, 456), (457, 459), (457, 20849), (457, 41945), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (456, 458), (456, 21970), (459, 458), (459, 21121), (20849, 20848), (20849, 21969), (41945, 21122), (41945, 41944), (41945, 42092), (400, 401), (400, 403), (400, 592), (401, 402), (401, 41613), (403, 402), (403, 450), (592, 591), (592, 2661), (402, 445), (41613, 2625), (41613, 42211), (450, 449), (450, 451), (591, 449), (591, 2652), (2661, 2660), (2661, 2671), (445, 446), (445, 40748), (446, 447), (446, 2648), (40748, 40749), (40748, 42208), (449, 448), (411, 36193), (472, 473), (36193, 35717), (406, 407), (406, 408), (406, 6024), (407, 409), (407, 6025), (407, 36209), (408, 409), (408, 6300), (6024, 6025), (6024, 6048), (409, 5636), (409, 6301), (6025, 6049), (6025, 36224), (36209, 5636), (36209, 36224), (6300, 6301), (6300, 6302), (5636, 5637), (5636, 5638), (6301, 5637), (412, 413), (412, 414), (412, 683), (413, 418), (413, 755), (413, 7795), (414, 415), (414, 682), (683, 677), (683, 699), (418, 417), (418, 7794), (755, 756), (755, 758), (755, 7793), (7795, 7792), (7795, 7794), (415, 416), (415, 682), (682, 681), (417, 416), (417, 1024), (417, 7757), (7794, 7757), (7794, 7787), (416, 1025), (1024, 1023), (1024, 7756), (7757, 7755), (7757, 7756), (427, 35747), (427, 42052), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 429), (428, 430), (428, 7190), (428, 40005), (429, 431), (429, 12629), (429, 40022), (430, 431), (430, 5927), (430, 5970), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (431, 12629), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5927, 5971), (5970, 5971), (5970, 7130), (611, 610), (611, 612), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (436, 437), (436, 439), (436, 23898), (437, 438), (437, 33468), (439, 438), (439, 20655), (439, 23896), (23898, 23897), (23898, 40853), (438, 15713), (438, 20655), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 23896), (20655, 39962), (23896, 23897), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 448), (447, 2647), (2648, 2649), (2648, 40749), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (458, 20811), (458, 20812), (458, 21121), (21970, 20869), (21970, 21969), (20811, 20813), (20811, 21122), (20812, 20772), (20812, 20803), (20812, 20813), (21121, 21122), (463, 464), (463, 467), (463, 20571), (464, 465), (464, 5314), (464, 5315), (467, 466), (467, 20718), (467, 25505), (20571, 20572), (20571, 20576), (20571, 20725), (465, 466), (465, 40105), (465, 41916), (5314, 5312), (5314, 42134), (5315, 5313), (5315, 20576), (466, 41916), (20718, 20554), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20554), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (474, 475), (475, 476), (475, 1594983), (476, 477), (476, 36977), (1594983, 1594984), (1594983, 1610675), (478, 477), (478, 35803), (478, 36976), (36977, 36978), (36977, 1594985), (36986, 541), (36986, 1594982), (36978, 36976), (35803, 35800), (35803, 35809), (35803, 35818), (481, 482), (481, 507), (482, 483), (507, 506), (507, 21548), (483, 484), (483, 4074), (506, 505), (506, 24012), (21548, 21549), (21548, 24014), (484, 485), (484, 4040), (484, 4074), (4074, 4041), (4074, 5937), (485, 486), (4040, 4039), (4040, 4041), (486, 487), (486, 5809), (4039, 5809), (487, 488), (487, 489), (5809, 5807), (5809, 5943), (489, 490), (489, 5808), (5807, 5808), (490, 491), (490, 5951), (5808, 5951), (491, 492), (491, 4077), (5951, 4077), (5951, 5948), (492, 493), (492, 4076), (4077, 4075), (4077, 5954), (493, 494), (493, 7131), (4076, 4075), (4076, 5813), (494, 495), (494, 7133), (7131, 5813), (7131, 7132), (7131, 7152), (495, 496), (495, 7154), (7133, 7132), (7133, 7154), (496, 497), (496, 7145), (7154, 7153), (7154, 7161), (7154, 7206), (497, 498), (497, 7142), (7145, 7142), (7145, 7146), (7145, 7207), (498, 499), (7142, 499), (7142, 7141), (499, 500), (7141, 500), (7141, 7144), (7141, 7165), (500, 501), (501, 502), (501, 7164), (501, 7165), (501, 23431), (7164, 7165), (7164, 7166), (7164, 23431), (7165, 7166), (23431, 7180), (504, 505), (504, 4044), (505, 4044), (505, 24013), (4044, 24012), (24013, 24012), (509, 510), (509, 511), (509, 6685), (510, 513), (510, 6681), (511, 512), (511, 6684), (511, 6696), (6685, 6679), (6685, 6684), (6685, 6699), (513, 512), (513, 6616), (6681, 6621), (6681, 6679), (6681, 6682), (512, 6604), (512, 6683), (6684, 6700), (6684, 6963), (6696, 6683), (6696, 6700), (6696, 6953), (6616, 6605), (6616, 6621), (6604, 6605), (6604, 6606), (6604, 6620), (6683, 6620), (6683, 6893), (514, 515), (514, 516), (514, 1119), (514, 5892), (515, 516), (515, 1120), (516, 5883), (516, 5884), (516, 5894), (1119, 1118), (1119, 5890), (1119, 5896), (1120, 1118), (1120, 5902), (5883, 5874), (5883, 5882), (5883, 5893), (5884, 5862), (5884, 5874), (5884, 5894), (5894, 5854), (5894, 5864), (517, 518), (517, 519), (517, 8146), (518, 520), (518, 8154), (518, 8155), (519, 520), (519, 8145), (519, 8153), (8146, 8137), (8146, 8147), (520, 8153), (520, 8155), (8154, 8147), (8154, 8156), (8155, 8152), (8155, 8157), (8145, 8124), (8145, 8148), (8145, 8153), (8153, 8151), (8153, 8152), (521, 522), (521, 36982), (521, 36992), (522, 523), (36982, 36983), (36992, 36991), (36992, 36993), (523, 524), (524, 526), (524, 36201), (526, 1166), (36201, 36200), (36201, 36202), (1166, 1167), (527, 528), (527, 529), (527, 532), (528, 531), (528, 534), (528, 5432), (529, 530), (529, 5418), (532, 533), (532, 5444), (532, 5449), (531, 530), (531, 5421), (531, 5422), (534, 535), (534, 5433), (534, 5438), (5432, 5421), (5432, 5433), (530, 5423), (5418, 5368), (5418, 5417), (5418, 5424), (533, 535), (533, 5450), (5444, 5417), (5444, 5445), (5444, 5448), (5449, 5450), (5421, 5391), (5421, 5420), (5422, 5423), (535, 5443), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 5442), (5438, 7984), (5423, 5367), (5423, 5424), (5443, 5442), (5443, 5447), (536, 537), (536, 541), (536, 542), (537, 538), (537, 36981), (541, 540), (542, 543), (538, 539), (538, 36985), (538, 1603443), (36981, 543), (540, 539), (540, 1594982), (539, 1603442), (36985, 36984), (36985, 1603443), (1603443, 1603442), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (544, 545), (544, 546), (544, 4371), (544, 4373), (545, 547), (545, 4481), (546, 547), (4371, 4372), (4371, 4476), (4371, 4487), (4373, 4372), (4373, 4481), (4373, 4485), (4481, 4480), (4481, 4484), (551, 552), (551, 553), (551, 559), (552, 555), (552, 556), (553, 554), (553, 36197), (559, 558), (559, 560), (555, 554), (555, 556), (556, 557), (554, 557), (554, 1189), (36197, 36196), (36197, 36207), (558, 560), (558, 2023), (560, 2025), (560, 37003), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 2024), (2023, 37015), (2025, 2024), (2025, 37004), (37003, 37004), (37003, 37005), (573, 577), (562, 563), (562, 566), (562, 567), (563, 564), (563, 37017), (566, 565), (566, 567), (566, 569), (567, 37020), (564, 565), (564, 37016), (37017, 37018), (37017, 37019), (565, 569), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (581, 582), (581, 583), (581, 22099), (582, 586), (582, 22099), (583, 584), (583, 22098), (22099, 21926), (586, 585), (586, 944), (584, 585), (22098, 21927), (22098, 22151), (585, 944), (585, 22105), (585, 22107), (585, 22113), (944, 31944), (22105, 17398), (22105, 22106), (22107, 22108), (22107, 22113), (22113, 22108), (593, 596), (596, 594), (596, 595), (594, 595), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 598), (597, 599), (597, 6851), (597, 7251), (598, 599), (598, 7066), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7251, 7263), (7066, 7068), (7066, 7263), (7066, 7351), (6859, 6858), (6859, 7067), (600, 601), (600, 603), (600, 663), (600, 3470), (601, 602), (601, 3484), (601, 3498), (603, 602), (603, 664), (663, 665), (663, 3469), (3470, 3469), (3470, 3473), (3470, 3494), (602, 3452), (3484, 3452), (3484, 3478), (3484, 3497), (3484, 3498), (3498, 3494), (3498, 3504), (664, 665), (664, 3439), (664, 3451), (3452, 3453), (604, 605), (604, 606), (604, 676), (604, 36183), (605, 608), (606, 607), (606, 41826), (676, 675), (676, 695), (676, 36179), (36183, 36179), (36183, 36182), (36183, 36190), (608, 607), (608, 675), (607, 673), (41826, 41825), (41826, 41892), (675, 672), (675, 692), (673, 672), (673, 674), (609, 610), (609, 614), (609, 40021), (610, 6013), (614, 613), (614, 40010), (40021, 40020), (6013, 6012), (6013, 6014), (613, 612), (613, 40010), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (615, 616), (615, 617), (615, 1494580), (616, 624), (616, 661), (617, 618), (1494580, 661), (1494580, 1494584), (624, 623), (624, 662), (661, 662), (661, 109371), (618, 619), (618, 37031), (623, 622), (662, 109372), (662, 139985), (619, 620), (619, 36225), (37031, 37030), (37031, 37033), (37031, 1494587), (620, 621), (620, 836), (36225, 834), (621, 622), (836, 768), (836, 834), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)] Total number of nodes : 1410 Total number of edges : 1763
nx.is_connected(G) # Check whether the graph is fully connected
False
# Computes subgraphs and stores them in a list
S = [G.subgraph(c).copy() for c in nx.connected_components(G)]
# Print subgraphs and its statistics
for graph_idx, graph in enumerate(S) :
print("-"*20,f"Graph {graph_idx}", "-"*20)
plt.figure(figsize=(20,14))
nx.draw(S[graph_idx], pos = nx.nx_pydot.graphviz_layout(S[graph_idx]), node_size=1200, node_color='lightblue', linewidths=0.25,font_size=10, with_labels=True)
plt.show()
print("-"*10,"Graph Stats ", "-"*10)
num_edges = graph.number_of_edges()
num_nodes = graph.number_of_nodes()
print(f"Nodes : {num_nodes} Edges : {num_nodes}")
print(f"Diameter : {nx.diameter(graph)}") # Diameter
print(f"Periphery : {nx.periphery(graph)}") # Periphery
degrees = [graph.degree(n) for n in graph.nodes()]
plt.hist(degrees)
# Density
density = nx.density(graph)
print(f"Density of the graph: {density}")
# Max and Min degree
degrees = dict(graph.degree())
max_degree = max(degrees.values())
min_degree = min(degrees.values())
# Average degree
avg_degree = (2 * num_edges) / num_nodes
print(f"Average degree: {avg_degree}")
# Number of connected components
connected_components = list(nx.connected_components(graph))
largest_component_size = max(len(c) for c in connected_components) # Find the size of the largest connected component
print(f"Size of the largest connected component: {largest_component_size}")
# Degree assortativity
assortativity = nx.degree_assortativity_coefficient(graph)
print(f"Degree assortativity coefficient: {assortativity}")
# Degree Centrality
deg_centrality=nx.degree_centrality(graph)
res = {key : round(deg_centrality[key], 3) for key in deg_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Degree Centrality"])
print(df.sort_values('Degree Centrality',ascending=False))
# Closeness Centrality
Closeness_centrality=nx.closeness_centrality(graph)
res = {key : round(Closeness_centrality[key], 3) for key in Closeness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Closeness Centrality"])
print(df.sort_values('Closeness Centrality',ascending=False))
# Between Centrality
Betweenness_centrality=nx.betweenness_centrality(graph)
res = {key : round(Betweenness_centrality[key], 3) for key in Betweenness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Betweenness Centrality"])
print(df.sort_values('Betweenness Centrality',ascending=False))
# Katz Centrality
Katz_centrality=nx.katz_centrality(graph,alpha=0.05, beta=1.0, max_iter=1000, tol=1e-02, nstart=None, normalized=True, weight=None)
res = {key : round(Katz_centrality[key], 3) for key in Katz_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Katz Centrality"])
print(df.sort_values('Katz Centrality',ascending=False))
# Bridges
print("Bridges in Graph : ", list(nx.bridges(G)))
plt.show()
print("-"*50)
-------------------- Graph 0 --------------------
---------- Graph Stats ----------
Nodes : 591 Edges : 591
Diameter : 45
Periphery : [2256, 2258, 35774, 35848, 42570]
Density of the graph: 0.004468152226906421
Average degree: 2.6362098138747885
Size of the largest connected component: 591
Degree assortativity coefficient: -0.07240299819279103
Node Degree Centrality
475 1068 0.008
105 125 0.008
131 151 0.007
159 179 0.007
362 470 0.007
.. ... ...
80 36963 0.002
448 35797 0.002
449 35799 0.002
450 35800 0.002
590 1593601 0.002
[591 rows x 2 columns]
Node Closeness Centrality
109 129 0.077
168 190 0.076
169 191 0.076
312 371 0.076
183 210 0.076
.. ... ...
190 2256 0.040
191 2258 0.040
569 1607299 0.040
579 36984 0.039
466 1048 0.039
[591 rows x 2 columns]
Node Betweenness Centrality
264 303 0.222
266 305 0.211
263 302 0.203
185 212 0.189
224 263 0.182
.. ... ...
464 35854 0.000
236 275 0.000
466 1048 0.000
235 274 0.000
590 1593601 0.000
[591 rows x 2 columns]
Node Katz Centrality
105 125 0.046
475 1068 0.046
294 353 0.044
108 128 0.044
109 129 0.044
.. ... ...
455 35841 0.038
456 35844 0.038
65 85 0.038
460 35848 0.038
590 1593601 0.038
[591 rows x 2 columns]
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 1 --------------------
---------- Graph Stats ----------
Nodes : 63 Edges : 63
Diameter : 13
Periphery : [1628954, 35890, 35891, 35892]
Density of the graph: 0.03789042498719918
Average degree: 2.3492063492063493
Size of the largest connected component: 63
Degree assortativity coefficient: -0.47263681592039875
Node Degree Centrality
22 1198 0.065
28 35886 0.065
43 27343 0.065
60 1641587 0.065
48 45 0.065
.. ... ...
39 1538362 0.016
40 27335 0.016
41 35887 0.016
42 27342 0.016
62 27250 0.016
[63 rows x 2 columns]
Node Closeness Centrality
24 48 0.207
30 46 0.206
25 49 0.206
27 47 0.206
48 45 0.202
.. ... ...
36 35892 0.134
35 35891 0.134
34 35890 0.134
10 1628954 0.133
4 1641606 0.133
[63 rows x 2 columns]
Node Betweenness Centrality
48 45 0.380
24 48 0.368
30 46 0.348
25 49 0.334
12 36 0.321
.. ... ...
38 27323 0.000
39 1538362 0.000
40 27335 0.000
41 35887 0.000
62 27250 0.000
[63 rows x 2 columns]
Node Katz Centrality
12 36 0.137
48 45 0.137
30 46 0.137
22 1198 0.136
37 27325 0.136
.. ... ...
39 1538362 0.117
40 27335 0.117
41 35887 0.117
42 27342 0.117
62 27250 0.117
[63 rows x 2 columns]
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 2 --------------------
---------- Graph Stats ----------
Nodes : 24 Edges : 24
Diameter : 6
Periphery : [4096, 4099, 4100, 4117, 4149, 4154, 4153, 4156, 3938, 3940]
Density of the graph: 0.11594202898550725
Average degree: 2.6666666666666665
Size of the largest connected component: 24
Degree assortativity coefficient: -0.24242424242424243
Node Degree Centrality
12 4148 0.174
21 3937 0.174
6 4114 0.174
20 225 0.174
8 4120 0.174
10 53 0.174
19 224 0.174
13 4152 0.174
18 223 0.174
3 4109 0.130
4 4110 0.130
5 4113 0.130
9 52 0.130
11 54 0.130
16 4153 0.087
23 3940 0.087
7 4117 0.087
15 4154 0.043
17 4156 0.043
14 4149 0.043
1 4099 0.043
2 4100 0.043
22 3938 0.043
0 4096 0.043
Node Closeness Centrality
20 225 0.418
10 53 0.411
19 224 0.404
18 223 0.404
12 4148 0.359
13 4152 0.354
21 3937 0.348
8 4120 0.348
9 52 0.348
11 54 0.348
6 4114 0.333
3 4109 0.324
4 4110 0.315
5 4113 0.315
16 4153 0.311
7 4117 0.295
23 3940 0.280
14 4149 0.267
17 4156 0.264
15 4154 0.261
22 3938 0.261
1 4099 0.253
2 4100 0.247
0 4096 0.242
Node Betweenness Centrality
20 225 0.276
19 224 0.272
18 223 0.241
12 4148 0.215
21 3937 0.205
13 4152 0.176
10 53 0.173
8 4120 0.172
6 4114 0.156
3 4109 0.121
4 4110 0.110
16 4153 0.071
5 4113 0.071
11 54 0.047
9 52 0.039
7 4117 0.032
23 3940 0.022
17 4156 0.000
15 4154 0.000
14 4149 0.000
1 4099 0.000
2 4100 0.000
22 3938 0.000
0 4096 0.000
Node Katz Centrality
20 225 0.219
18 223 0.219
10 53 0.218
19 224 0.218
12 4148 0.217
21 3937 0.217
6 4114 0.216
8 4120 0.216
13 4152 0.216
9 52 0.208
11 54 0.208
3 4109 0.207
5 4113 0.207
4 4110 0.206
16 4153 0.197
23 3940 0.197
7 4117 0.197
15 4154 0.187
17 4156 0.187
14 4149 0.187
1 4099 0.187
22 3938 0.187
2 4100 0.186
0 4096 0.186
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 3 --------------------
---------- Graph Stats ----------
Nodes : 40 Edges : 40
Diameter : 8
Periphery : [6794, 6798, 6722, 6736, 6737, 6765, 6769]
Density of the graph: 0.07051282051282051
Average degree: 2.75
Size of the largest connected component: 40
Degree assortativity coefficient: -0.42708873897249455
Node Degree Centrality
21 6738 0.154
0 6790 0.128
2 136 0.128
5 6793 0.128
13 6713 0.128
28 103 0.103
24 99 0.103
17 6733 0.103
25 100 0.103
26 101 0.103
27 102 0.103
10 6805 0.103
11 421 0.103
29 6760 0.103
33 6764 0.103
38 6771 0.103
4 6792 0.103
3 137 0.103
23 6748 0.103
37 6770 0.077
39 6772 0.051
1 6791 0.051
19 6736 0.051
18 6734 0.051
9 6802 0.051
32 6763 0.026
6 6794 0.026
7 6797 0.026
36 6769 0.026
35 6766 0.026
34 6765 0.026
8 6798 0.026
30 6757 0.026
31 6759 0.026
22 6747 0.026
12 6711 0.026
14 6714 0.026
15 6717 0.026
16 6722 0.026
20 6737 0.026
Node Closeness Centrality
25 100 0.358
28 103 0.345
24 99 0.342
3 137 0.325
26 101 0.325
27 102 0.325
2 136 0.312
0 6790 0.300
29 6760 0.293
23 6748 0.285
11 421 0.285
13 6713 0.279
4 6792 0.277
33 6764 0.271
38 6771 0.267
21 6738 0.267
17 6733 0.264
10 6805 0.262
9 6802 0.253
1 6791 0.250
5 6793 0.242
18 6734 0.242
37 6770 0.232
39 6772 0.232
30 6757 0.228
19 6736 0.224
22 6747 0.223
31 6759 0.223
15 6717 0.219
14 6714 0.219
12 6711 0.219
32 6763 0.214
35 6766 0.214
34 6765 0.212
20 6737 0.212
16 6722 0.210
7 6797 0.209
8 6798 0.196
6 6794 0.196
36 6769 0.189
Node Betweenness Centrality
28 103 0.349
25 100 0.275
27 102 0.261
3 137 0.225
13 6713 0.176
26 101 0.172
24 99 0.168
11 421 0.166
2 136 0.161
21 6738 0.161
29 6760 0.144
23 6748 0.138
33 6764 0.126
0 6790 0.117
5 6793 0.112
10 6805 0.101
17 6733 0.090
38 6771 0.076
4 6792 0.071
37 6770 0.051
1 6791 0.017
18 6734 0.016
19 6736 0.010
34 6765 0.000
32 6763 0.000
31 6759 0.000
35 6766 0.000
30 6757 0.000
36 6769 0.000
20 6737 0.000
22 6747 0.000
16 6722 0.000
15 6717 0.000
14 6714 0.000
12 6711 0.000
9 6802 0.000
8 6798 0.000
7 6797 0.000
6 6794 0.000
39 6772 0.000
Node Katz Centrality
21 6738 0.181
2 136 0.177
0 6790 0.175
5 6793 0.174
13 6713 0.173
28 103 0.169
3 137 0.169
24 99 0.169
25 100 0.169
26 101 0.169
27 102 0.169
11 421 0.169
10 6805 0.168
38 6771 0.168
4 6792 0.168
29 6760 0.167
33 6764 0.166
17 6733 0.166
23 6748 0.166
37 6770 0.159
39 6772 0.152
1 6791 0.152
9 6802 0.152
19 6736 0.152
18 6734 0.152
6 6794 0.144
34 6765 0.144
8 6798 0.144
20 6737 0.144
12 6711 0.144
14 6714 0.144
15 6717 0.144
22 6747 0.143
31 6759 0.143
32 6763 0.143
35 6766 0.143
36 6769 0.143
7 6797 0.143
16 6722 0.143
30 6757 0.143
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 4 --------------------
---------- Graph Stats ----------
Nodes : 121 Edges : 121
Diameter : 25
Periphery : [7206, 40009, 40020, 7153, 7161]
Density of the graph: 0.020523415977961434
Average degree: 2.4628099173553717
Size of the largest connected component: 121
Degree assortativity coefficient: -0.20686639974227827
Node Degree Centrality
119 501 0.042
32 7154 0.042
26 611 0.033
102 4077 0.033
47 7165 0.033
.. ... ...
86 7130 0.008
54 5937 0.008
23 40023 0.008
97 488 0.008
0 7176 0.008
[121 rows x 2 columns]
Node Closeness Centrality
91 482 0.131
90 481 0.126
50 5926 0.125
92 483 0.125
116 507 0.123
.. ... ...
65 6012 0.071
59 15686 0.071
67 6014 0.071
16 40009 0.067
20 40020 0.067
[121 rows x 2 columns]
Node Betweenness Centrality
91 482 0.537
50 5926 0.448
49 5925 0.430
73 431 0.428
116 507 0.340
.. ... ...
86 7130 0.000
33 7332 0.000
31 7153 0.000
30 7146 0.000
0 7176 0.000
[121 rows x 2 columns]
Node Katz Centrality
119 501 0.103
32 7154 0.101
71 429 0.099
72 430 0.099
47 7165 0.099
.. ... ...
65 6012 0.084
34 5805 0.084
33 7332 0.084
97 488 0.084
0 7176 0.084
[121 rows x 2 columns]
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 5 --------------------
---------- Graph Stats ----------
Nodes : 27 Edges : 27
Diameter : 7
Periphery : [4896, 4898, 7881, 7882, 7887, 7888, 43222, 7921, 7924, 7927]
Density of the graph: 0.08831908831908832
Average degree: 2.2962962962962963
Size of the largest connected component: 27
Degree assortativity coefficient: -0.16279069767441873
Node Degree Centrality
16 222 0.192
14 221 0.154
23 7926 0.154
17 7918 0.154
15 7901 0.154
13 220 0.115
25 7931 0.115
4 4899 0.115
20 7923 0.115
19 7922 0.115
10 217 0.115
11 218 0.115
12 219 0.115
1 4895 0.115
26 7932 0.077
9 43222 0.038
8 7888 0.038
7 7887 0.038
18 7921 0.038
6 7882 0.038
5 7881 0.038
21 7924 0.038
22 7925 0.038
3 4898 0.038
24 7927 0.038
2 4896 0.038
0 7937 0.038
Node Closeness Centrality
14 221 0.413
16 222 0.406
13 220 0.366
10 217 0.347
17 7918 0.325
15 7901 0.325
1 4895 0.321
12 219 0.317
23 7926 0.313
11 218 0.313
4 4899 0.310
25 7931 0.292
26 7932 0.277
22 7925 0.260
19 7922 0.257
20 7923 0.255
8 7888 0.248
7 7887 0.248
6 7882 0.248
5 7881 0.248
2 4896 0.245
9 43222 0.241
24 7927 0.241
3 4898 0.239
0 7937 0.228
18 7921 0.206
21 7924 0.205
Node Betweenness Centrality
16 222 0.480
14 221 0.452
13 220 0.273
10 217 0.223
15 7901 0.194
12 219 0.192
17 7918 0.181
11 218 0.177
23 7926 0.151
1 4895 0.122
19 7922 0.105
20 7923 0.102
25 7931 0.098
4 4899 0.077
26 7932 0.018
9 43222 0.000
8 7888 0.000
7 7887 0.000
18 7921 0.000
6 7882 0.000
5 7881 0.000
21 7924 0.000
22 7925 0.000
3 4898 0.000
24 7927 0.000
2 4896 0.000
0 7937 0.000
Node Katz Centrality
16 222 0.220
14 221 0.211
23 7926 0.208
17 7918 0.208
15 7901 0.207
13 220 0.200
4 4899 0.200
1 4895 0.200
10 217 0.199
11 218 0.199
12 219 0.199
25 7931 0.198
20 7923 0.198
19 7922 0.198
26 7932 0.189
9 43222 0.180
8 7888 0.180
7 7887 0.180
6 7882 0.180
5 7881 0.180
24 7927 0.180
18 7921 0.179
21 7924 0.179
22 7925 0.179
3 4898 0.179
2 4896 0.179
0 7937 0.179
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 6 --------------------
---------- Graph Stats ----------
Nodes : 38 Edges : 38
Diameter : 11
Periphery : [3888, 3890, 3272, 3284, 3286, 3931]
Density of the graph: 0.06970128022759602
Average degree: 2.5789473684210527
Size of the largest connected component: 38
Degree assortativity coefficient: -0.23213738117141988
Node Degree Centrality
21 346 0.135
32 239 0.135
1 3339 0.135
37 3319 0.108
11 3276 0.108
31 238 0.108
14 3285 0.108
27 347 0.108
24 349 0.108
22 3295 0.081
23 3296 0.081
26 348 0.081
25 3290 0.081
28 3294 0.081
30 237 0.081
33 240 0.081
34 241 0.081
20 3292 0.081
0 3338 0.081
18 3291 0.081
6 3889 0.081
16 345 0.081
8 3271 0.081
17 3930 0.081
36 3314 0.027
35 4080 0.027
2 3340 0.027
3 3347 0.027
4 36261 0.027
5 3888 0.027
7 3890 0.027
29 3293 0.027
9 3272 0.027
10 3275 0.027
12 3277 0.027
13 3284 0.027
15 3286 0.027
19 3931 0.027
Node Closeness Centrality
18 3291 0.287
21 346 0.282
23 3296 0.282
0 3338 0.278
20 3292 0.274
24 349 0.274
22 3295 0.262
34 241 0.255
31 238 0.252
11 3276 0.247
16 345 0.240
1 3339 0.239
26 348 0.237
25 3290 0.233
33 240 0.231
32 239 0.228
30 237 0.219
27 347 0.218
37 3319 0.210
35 4080 0.209
28 3294 0.207
12 3277 0.199
10 3275 0.199
14 3285 0.195
2 3340 0.194
3 3347 0.194
4 36261 0.194
6 3889 0.193
8 3271 0.191
29 3293 0.190
17 3930 0.186
36 3314 0.175
15 3286 0.164
13 3284 0.164
7 3890 0.162
5 3888 0.161
9 3272 0.161
19 3931 0.157
Node Betweenness Centrality
21 346 0.337
31 238 0.298
24 349 0.298
22 3295 0.291
23 3296 0.286
18 3291 0.272
32 239 0.266
0 3338 0.232
20 3292 0.222
1 3339 0.205
11 3276 0.141
27 347 0.118
14 3285 0.116
16 345 0.114
37 3319 0.107
8 3271 0.107
33 240 0.093
34 241 0.089
30 237 0.087
26 348 0.079
25 3290 0.072
6 3889 0.066
17 3930 0.056
28 3294 0.018
29 3293 0.000
36 3314 0.000
35 4080 0.000
2 3340 0.000
3 3347 0.000
15 3286 0.000
4 36261 0.000
13 3284 0.000
5 3888 0.000
7 3890 0.000
9 3272 0.000
10 3275 0.000
12 3277 0.000
19 3931 0.000
Node Katz Centrality
32 239 0.182
21 346 0.182
1 3339 0.180
24 349 0.175
37 3319 0.174
31 238 0.174
27 347 0.174
14 3285 0.173
11 3276 0.172
16 345 0.166
34 241 0.166
33 240 0.166
30 237 0.166
26 348 0.166
18 3291 0.166
0 3338 0.166
20 3292 0.165
22 3295 0.165
23 3296 0.165
25 3290 0.165
28 3294 0.165
6 3889 0.165
8 3271 0.164
17 3930 0.164
15 3286 0.149
5 3888 0.149
36 3314 0.149
35 4080 0.149
2 3340 0.149
3 3347 0.149
4 36261 0.149
7 3890 0.149
29 3293 0.149
9 3272 0.149
10 3275 0.149
12 3277 0.149
13 3284 0.149
19 3931 0.149
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 7 --------------------
---------- Graph Stats ---------- Nodes : 2 Edges : 2 Diameter : 1 Periphery : [320, 319] Density of the graph: 1.0 Average degree: 1.0 Size of the largest connected component: 2 Degree assortativity coefficient: nan Node Degree Centrality 0 320 1.0 1 319 1.0 Node Closeness Centrality 0 320 1.0 1 319 1.0 Node Betweenness Centrality 0 320 0.0 1 319 0.0 Node Katz Centrality 0 320 0.707 1 319 0.707 Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
/Users/ha5hkat/SJSU/276/276-ML-on-Graphs/.venv/lib/python3.12/site-packages/networkx/algorithms/assortativity/correlation.py:302: RuntimeWarning: invalid value encountered in scalar divide return float((xy * (M - ab)).sum() / np.sqrt(vara * varb))
-------------------------------------------------- -------------------- Graph 8 --------------------
---------- Graph Stats ----------
Nodes : 31 Edges : 31
Diameter : 7
Periphery : [3474, 3476, 4132, 3369, 4178, 4182, 3415, 3416, 3424, 3427, 3429]
Density of the graph: 0.09032258064516129
Average degree: 2.7096774193548385
Size of the largest connected component: 31
Degree assortativity coefficient: -0.21188630490956037
Node Degree Centrality
13 325 0.167
15 4173 0.133
20 4181 0.133
1 3475 0.133
14 326 0.133
12 324 0.133
11 323 0.133
10 322 0.133
9 321 0.133
27 3430 0.133
28 3431 0.133
4 3480 0.133
3 3479 0.133
29 3432 0.133
17 4175 0.133
5 3481 0.100
18 4178 0.067
19 4179 0.067
0 3474 0.067
16 4174 0.067
30 3434 0.067
8 3369 0.033
21 4182 0.033
22 3415 0.033
23 3416 0.033
24 3424 0.033
25 3427 0.033
26 3429 0.033
7 4132 0.033
6 3482 0.033
2 3476 0.033
Node Closeness Centrality
10 322 0.385
9 321 0.375
12 324 0.366
11 323 0.357
13 325 0.353
14 326 0.345
3 3479 0.323
17 4175 0.309
1 3475 0.309
5 3481 0.306
4 3480 0.300
28 3431 0.297
29 3432 0.291
27 3430 0.291
15 4173 0.286
20 4181 0.278
30 3434 0.270
16 4174 0.261
0 3474 0.259
19 4179 0.250
6 3482 0.246
18 4178 0.244
2 3476 0.238
24 3424 0.233
23 3416 0.231
8 3369 0.227
22 3415 0.227
25 3427 0.227
26 3429 0.227
7 4132 0.224
21 4182 0.219
Node Betweenness Centrality
11 323 0.305
13 325 0.273
10 322 0.261
9 321 0.242
12 324 0.236
3 3479 0.175
14 326 0.165
27 3430 0.155
29 3432 0.154
4 3480 0.144
1 3475 0.141
28 3431 0.127
15 4173 0.104
20 4181 0.102
5 3481 0.087
17 4175 0.084
30 3434 0.028
0 3474 0.020
18 4178 0.014
16 4174 0.008
19 4179 0.006
8 3369 0.000
21 4182 0.000
22 3415 0.000
23 3416 0.000
24 3424 0.000
25 3427 0.000
26 3429 0.000
7 4132 0.000
6 3482 0.000
2 3476 0.000
Node Katz Centrality
13 325 0.202
10 322 0.193
14 326 0.193
9 321 0.192
12 324 0.192
11 323 0.192
17 4175 0.191
3 3479 0.191
20 4181 0.190
28 3431 0.190
4 3480 0.190
1 3475 0.190
15 4173 0.190
27 3430 0.189
29 3432 0.189
5 3481 0.182
18 4178 0.173
19 4179 0.173
0 3474 0.173
16 4174 0.173
30 3434 0.173
21 4182 0.164
22 3415 0.164
23 3416 0.164
24 3424 0.164
25 3427 0.164
7 4132 0.164
6 3482 0.164
2 3476 0.164
8 3369 0.163
26 3429 0.163
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 9 --------------------
---------- Graph Stats ----------
Nodes : 20 Edges : 20
Diameter : 10
Periphery : [12032, 12033, 12058, 12022]
Density of the graph: 0.11052631578947368
Average degree: 2.1
Size of the largest connected component: 20
Degree assortativity coefficient: -0.4583333333333324
Node Degree Centrality
4 12176 0.211
13 330 0.158
2 12041 0.158
18 12138 0.158
17 337 0.158
16 336 0.158
9 11435 0.158
11 328 0.158
12 329 0.158
7 11433 0.105
15 335 0.105
14 334 0.105
0 12032 0.053
10 12202 0.053
1 12033 0.053
8 11434 0.053
6 40094 0.053
5 12058 0.053
3 12175 0.053
19 12022 0.053
Node Closeness Centrality
4 12176 0.317
7 11433 0.317
9 11435 0.306
16 336 0.288
12 329 0.279
17 337 0.250
10 12202 0.244
3 12175 0.244
13 330 0.244
8 11434 0.237
11 328 0.237
15 335 0.232
18 12138 0.211
2 12041 0.207
14 334 0.207
6 40094 0.194
0 12032 0.176
1 12033 0.176
5 12058 0.173
19 12022 0.173
Node Betweenness Centrality
4 12176 0.614
9 11435 0.556
7 11433 0.526
16 336 0.468
12 329 0.456
17 337 0.322
13 330 0.281
2 12041 0.205
18 12138 0.205
11 328 0.105
15 335 0.041
14 334 0.012
0 12032 0.000
10 12202 0.000
1 12033 0.000
8 11434 0.000
6 40094 0.000
5 12058 0.000
3 12175 0.000
19 12022 0.000
Node Katz Centrality
4 12176 0.243
17 337 0.234
16 336 0.234
12 329 0.234
13 330 0.234
9 11435 0.233
11 328 0.233
2 12041 0.232
18 12138 0.232
7 11433 0.223
14 334 0.222
15 335 0.222
10 12202 0.212
3 12175 0.212
0 12032 0.211
1 12033 0.211
8 11434 0.211
6 40094 0.211
5 12058 0.211
19 12022 0.211
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 10 --------------------
---------- Graph Stats ----------
Nodes : 17 Edges : 17
Diameter : 5
Periphery : [12225, 12228, 12229, 12231, 16399, 37522, 37523, 1176, 12248]
Density of the graph: 0.125
Average degree: 2.0
Size of the largest connected component: 17
Degree assortativity coefficient: -0.00563380281690109
Node Degree Centrality
13 378 0.250
12 377 0.250
10 12247 0.188
2 12227 0.188
14 16472 0.188
1 12226 0.188
11 376 0.188
5 12230 0.125
0 12225 0.062
15 1176 0.062
8 37522 0.062
9 37523 0.062
7 16399 0.062
6 12231 0.062
4 12229 0.062
3 12228 0.062
16 12248 0.062
Node Closeness Centrality
12 377 0.485
13 378 0.471
11 376 0.444
2 12227 0.364
1 12226 0.364
10 12247 0.356
5 12230 0.340
14 16472 0.340
0 12225 0.271
3 12228 0.271
4 12229 0.271
7 16399 0.271
8 37522 0.267
16 12248 0.267
9 37523 0.258
6 12231 0.258
15 1176 0.258
Node Betweenness Centrality
12 377 0.575
13 378 0.508
11 376 0.325
10 12247 0.242
2 12227 0.242
14 16472 0.242
1 12226 0.242
5 12230 0.125
0 12225 0.000
15 1176 0.000
8 37522 0.000
9 37523 0.000
7 16399 0.000
6 12231 0.000
4 12229 0.000
3 12228 0.000
16 12248 0.000
Node Katz Centrality
12 377 0.269
13 378 0.268
11 376 0.257
10 12247 0.253
2 12227 0.253
14 16472 0.253
1 12226 0.253
5 12230 0.242
0 12225 0.230
15 1176 0.230
8 37522 0.230
9 37523 0.230
7 16399 0.230
4 12229 0.230
3 12228 0.230
16 12248 0.230
6 12231 0.229
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 11 --------------------
---------- Graph Stats ----------
Nodes : 37 Edges : 37
Diameter : 9
Periphery : [20772, 3264, 21184, 20803, 20813]
Density of the graph: 0.07207207207207207
Average degree: 2.5945945945945947
Size of the largest connected component: 37
Degree assortativity coefficient: -0.15895372233400676
Node Degree Centrality
19 457 0.167
20 458 0.139
36 7163 0.111
14 3263 0.111
35 7162 0.111
32 42094 0.111
29 41945 0.111
23 20812 0.111
34 20849 0.083
26 21970 0.083
22 20811 0.083
21 459 0.083
1 21122 0.083
0 21121 0.083
18 456 0.083
7 398 0.083
3 394 0.083
4 395 0.083
12 3261 0.083
5 396 0.083
6 397 0.083
8 399 0.083
24 20813 0.056
25 21969 0.056
9 7184 0.056
10 7186 0.056
15 3264 0.028
27 41944 0.028
28 42329 0.028
11 20772 0.028
30 20839 0.028
31 42092 0.028
17 20803 0.028
33 20848 0.028
16 21184 0.028
2 20869 0.028
13 3262 0.028
Node Closeness Centrality
19 457 0.371
8 399 0.336
32 42094 0.319
18 456 0.316
21 459 0.308
29 41945 0.298
7 398 0.293
34 20849 0.286
4 395 0.286
9 7184 0.271
20 458 0.271
0 21121 0.261
1 21122 0.255
6 397 0.255
26 21970 0.252
3 394 0.250
35 7162 0.247
28 42329 0.243
25 21969 0.240
12 3261 0.234
31 42092 0.231
27 41944 0.231
22 20811 0.228
5 396 0.225
33 20848 0.224
36 7163 0.222
23 20812 0.222
14 3263 0.222
10 7186 0.211
2 20869 0.202
24 20813 0.193
13 3262 0.190
30 20839 0.190
11 20772 0.183
17 20803 0.183
16 21184 0.183
15 3264 0.183
Node Betweenness Centrality
19 457 0.608
8 399 0.326
7 398 0.300
32 42094 0.226
20 458 0.223
18 456 0.204
29 41945 0.164
6 397 0.159
21 459 0.129
23 20812 0.128
14 3263 0.121
9 7184 0.110
12 3261 0.110
35 7162 0.098
34 20849 0.094
4 395 0.082
26 21970 0.067
36 7163 0.048
3 394 0.046
22 20811 0.045
1 21122 0.044
5 396 0.028
0 21121 0.010
24 20813 0.007
25 21969 0.006
13 3262 0.000
11 20772 0.000
17 20803 0.000
28 42329 0.000
10 7186 0.000
30 20839 0.000
31 42092 0.000
15 3264 0.000
33 20848 0.000
16 21184 0.000
2 20869 0.000
27 41944 0.000
Node Katz Centrality
19 457 0.193
20 458 0.184
36 7163 0.176
32 42094 0.176
35 7162 0.175
29 41945 0.175
14 3263 0.174
23 20812 0.174
21 459 0.169
18 456 0.169
5 396 0.168
1 21122 0.168
3 394 0.168
4 395 0.168
22 20811 0.168
6 397 0.168
8 399 0.168
0 21121 0.168
7 398 0.167
34 20849 0.167
12 3261 0.166
26 21970 0.166
10 7186 0.160
9 7184 0.160
24 20813 0.159
25 21969 0.159
28 42329 0.151
31 42092 0.151
17 20803 0.151
16 21184 0.151
11 20772 0.151
15 3264 0.151
27 41944 0.151
13 3262 0.150
30 20839 0.150
33 20848 0.150
2 20869 0.150
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 12 --------------------
---------- Graph Stats ----------
Nodes : 32 Edges : 32
Diameter : 9
Periphery : [2575, 2649, 2653, 42208, 2660, 2671, 2935]
Density of the graph: 0.07056451612903226
Average degree: 2.1875
Size of the largest connected component: 32
Degree assortativity coefficient: -0.5415415415415425
Node Degree Centrality
22 2652 0.129
19 2647 0.129
0 41613 0.097
10 447 0.097
27 2661 0.097
20 2648 0.097
17 592 0.097
14 449 0.097
13 450 0.097
16 591 0.097
9 446 0.097
8 445 0.097
6 40748 0.097
2 400 0.097
5 403 0.097
4 402 0.097
3 401 0.097
7 40749 0.065
11 448 0.065
25 42211 0.032
30 2935 0.032
29 2934 0.032
28 2671 0.032
26 2660 0.032
21 2649 0.032
24 42208 0.032
23 2653 0.032
18 2646 0.032
1 2575 0.032
15 451 0.032
12 2625 0.032
31 2938 0.032
Node Closeness Centrality
14 449 0.290
4 402 0.287
5 403 0.282
16 591 0.279
10 447 0.279
3 401 0.277
11 448 0.274
2 400 0.272
8 445 0.272
17 592 0.272
13 450 0.272
9 446 0.270
22 2652 0.230
19 2647 0.230
0 41613 0.225
6 40748 0.225
20 2648 0.223
27 2661 0.221
15 451 0.215
7 40749 0.205
1 2575 0.188
30 2935 0.188
29 2934 0.188
23 2653 0.188
18 2646 0.188
31 2938 0.188
24 42208 0.185
25 42211 0.185
12 2625 0.185
21 2649 0.183
26 2660 0.182
28 2671 0.182
Node Betweenness Centrality
10 447 0.328
16 591 0.320
14 449 0.278
8 445 0.276
17 592 0.273
4 402 0.267
9 446 0.255
3 401 0.234
11 448 0.218
2 400 0.206
22 2652 0.187
19 2647 0.187
5 403 0.144
27 2661 0.127
0 41613 0.127
13 450 0.113
6 40748 0.095
20 2648 0.092
7 40749 0.009
15 451 0.000
25 42211 0.000
30 2935 0.000
29 2934 0.000
28 2671 0.000
26 2660 0.000
23 2653 0.000
24 42208 0.000
1 2575 0.000
21 2649 0.000
12 2625 0.000
18 2646 0.000
31 2938 0.000
Node Katz Centrality
22 2652 0.191
19 2647 0.191
16 591 0.185
14 449 0.184
2 400 0.184
3 401 0.184
4 402 0.184
5 403 0.184
8 445 0.184
9 446 0.184
10 447 0.184
17 592 0.184
27 2661 0.183
20 2648 0.183
0 41613 0.183
13 450 0.183
6 40748 0.183
11 448 0.175
7 40749 0.175
15 451 0.166
25 42211 0.166
30 2935 0.166
29 2934 0.166
28 2671 0.166
26 2660 0.166
23 2653 0.166
24 42208 0.166
1 2575 0.166
21 2649 0.166
12 2625 0.166
18 2646 0.166
31 2938 0.166
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 13 --------------------
---------- Graph Stats ----------
Nodes : 16 Edges : 16
Diameter : 6
Periphery : [6048, 6049, 36224, 5637, 5638, 6302]
Density of the graph: 0.175
Average degree: 2.625
Size of the largest connected component: 16
Degree assortativity coefficient: -0.17914438502674013
Node Degree Centrality
3 5636 0.267
7 6025 0.267
10 407 0.267
12 409 0.267
6 6024 0.200
8 36209 0.200
9 406 0.200
11 408 0.200
13 6300 0.200
14 6301 0.200
2 36224 0.133
4 5637 0.133
0 6048 0.067
1 6049 0.067
5 5638 0.067
15 6302 0.067
Node Closeness Centrality
10 407 0.469
12 409 0.469
9 406 0.417
11 408 0.417
3 5636 0.395
7 6025 0.395
8 36209 0.395
14 6301 0.375
6 6024 0.357
2 36224 0.341
13 6300 0.341
4 5637 0.326
1 6049 0.288
5 5638 0.288
0 6048 0.268
15 6302 0.259
Node Betweenness Centrality
10 407 0.304
12 409 0.293
7 6025 0.241
3 5636 0.236
11 408 0.192
9 406 0.190
6 6024 0.165
13 6300 0.153
8 36209 0.147
14 6301 0.118
2 36224 0.042
4 5637 0.033
0 6048 0.000
1 6049 0.000
5 5638 0.000
15 6302 0.000
Node Katz Centrality
10 407 0.268
12 409 0.268
3 5636 0.266
7 6025 0.266
8 36209 0.255
9 406 0.255
11 408 0.255
6 6024 0.254
14 6301 0.254
13 6300 0.253
2 36224 0.242
4 5637 0.242
0 6048 0.229
1 6049 0.229
5 5638 0.229
15 6302 0.229
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 14 --------------------
---------- Graph Stats ----------
Nodes : 26 Edges : 26
Diameter : 7
Periphery : [677, 681, 699, 7755, 7756, 7787, 1023]
Density of the graph: 0.09230769230769231
Average degree: 2.3076923076923075
Size of the largest connected component: 26
Degree assortativity coefficient: -0.24746450304259682
Node Degree Centrality
20 7794 0.16
16 7757 0.16
3 413 0.16
21 755 0.16
7 417 0.16
11 682 0.12
22 7795 0.12
12 683 0.12
0 1024 0.12
8 418 0.12
6 416 0.12
5 415 0.12
4 414 0.12
2 412 0.12
15 7756 0.08
19 7793 0.04
23 756 0.04
24 758 0.04
13 699 0.04
18 7792 0.04
17 7787 0.04
14 7755 0.04
1 1025 0.04
10 681 0.04
9 677 0.04
25 1023 0.04
Node Closeness Centrality
3 413 0.391
8 418 0.373
7 417 0.357
2 412 0.347
22 7795 0.329
20 7794 0.316
4 414 0.312
6 416 0.312
21 755 0.305
16 7757 0.305
5 415 0.301
0 1024 0.278
12 683 0.272
11 682 0.269
18 7792 0.250
15 7756 0.245
17 7787 0.243
1 1025 0.240
14 7755 0.236
23 756 0.236
19 7793 0.236
24 758 0.236
25 1023 0.219
9 677 0.216
13 699 0.216
10 681 0.214
Node Betweenness Centrality
3 413 0.487
2 412 0.333
7 417 0.319
8 418 0.264
21 755 0.230
20 7794 0.186
6 416 0.180
16 7757 0.169
12 683 0.157
4 414 0.147
22 7795 0.144
5 415 0.117
0 1024 0.100
11 682 0.080
15 7756 0.014
23 756 0.000
19 7793 0.000
24 758 0.000
13 699 0.000
18 7792 0.000
17 7787 0.000
14 7755 0.000
1 1025 0.000
10 681 0.000
9 677 0.000
25 1023 0.000
Node Katz Centrality
20 7794 0.213
3 413 0.213
16 7757 0.213
7 417 0.213
21 755 0.211
8 418 0.204
2 412 0.203
4 414 0.203
5 415 0.203
22 7795 0.203
11 682 0.202
0 1024 0.202
6 416 0.202
12 683 0.201
15 7756 0.193
23 756 0.183
19 7793 0.183
24 758 0.183
13 699 0.183
18 7792 0.183
17 7787 0.183
14 7755 0.183
1 1025 0.183
10 681 0.183
9 677 0.183
25 1023 0.183
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 15 --------------------
---------- Graph Stats ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [39690, 40848, 40853, 39978, 33467, 33469, 15712, 15714]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.3628318584070792
Node Degree Centrality
9 439 0.222
17 15713 0.222
5 20655 0.222
8 438 0.222
13 23896 0.222
11 33468 0.222
15 23898 0.167
6 436 0.167
7 437 0.167
14 23897 0.111
12 33469 0.056
16 15712 0.056
0 39690 0.056
10 33467 0.056
1 40848 0.056
4 39978 0.056
3 39962 0.056
2 40853 0.056
18 15714 0.056
Node Closeness Centrality
8 438 0.450
7 437 0.429
9 439 0.419
5 20655 0.400
6 436 0.400
17 15713 0.353
13 23896 0.346
11 33468 0.340
15 23898 0.321
14 23897 0.305
3 39962 0.290
16 15712 0.265
18 15714 0.265
1 40848 0.265
4 39978 0.261
12 33469 0.257
10 33467 0.257
0 39690 0.257
2 40853 0.247
Node Betweenness Centrality
8 438 0.491
7 437 0.415
17 15713 0.314
11 33468 0.314
6 436 0.228
5 20655 0.182
9 439 0.181
13 23896 0.176
15 23898 0.150
14 23897 0.039
12 33469 0.000
16 15712 0.000
0 39690 0.000
10 33467 0.000
1 40848 0.000
4 39978 0.000
3 39962 0.000
2 40853 0.000
18 15714 0.000
Node Katz Centrality
9 439 0.251
8 438 0.250
5 20655 0.249
13 23896 0.248
17 15713 0.246
11 33468 0.245
7 437 0.238
6 436 0.237
15 23898 0.235
14 23897 0.226
12 33469 0.214
16 15712 0.214
0 39690 0.214
10 33467 0.214
1 40848 0.214
4 39978 0.214
3 39962 0.214
18 15714 0.214
2 40853 0.213
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 16 --------------------
---------- Graph Stats ----------
Nodes : 26 Edges : 26
Diameter : 6
Periphery : [42134, 40104, 40110, 20534, 41917, 5312, 5313, 20554, 20556, 20572, 20716, 20723, 20725]
Density of the graph: 0.08923076923076922
Average degree: 2.230769230769231
Size of the largest connected component: 26
Degree assortativity coefficient: -0.3205828779599262
Node Degree Centrality
19 20571 0.16
18 467 0.16
16 465 0.16
15 464 0.16
23 20718 0.16
1 25505 0.16
14 463 0.12
11 5315 0.12
10 5314 0.12
17 466 0.12
6 41916 0.12
3 40105 0.12
21 20576 0.08
12 20554 0.08
20 20572 0.04
22 20716 0.04
24 20723 0.04
0 42134 0.04
13 20556 0.04
9 5313 0.04
8 5312 0.04
7 41917 0.04
5 20534 0.04
4 40110 0.04
2 40104 0.04
25 20725 0.04
Node Closeness Centrality
18 467 0.397
15 464 0.397
14 463 0.397
16 465 0.373
17 466 0.362
19 20571 0.316
11 5315 0.312
6 41916 0.312
23 20718 0.309
1 25505 0.309
10 5314 0.301
3 40105 0.287
21 20576 0.281
12 20554 0.253
20 20572 0.243
25 20725 0.243
9 5313 0.240
7 41917 0.240
22 20716 0.238
24 20723 0.238
13 20556 0.238
5 20534 0.238
8 5312 0.234
0 42134 0.234
4 40110 0.225
2 40104 0.225
Node Betweenness Centrality
18 467 0.463
15 464 0.415
14 463 0.378
16 465 0.302
19 20571 0.188
23 20718 0.188
1 25505 0.188
17 466 0.173
10 5314 0.157
3 40105 0.157
11 5315 0.115
6 41916 0.080
21 20576 0.020
12 20554 0.015
20 20572 0.000
22 20716 0.000
24 20723 0.000
0 42134 0.000
13 20556 0.000
9 5313 0.000
8 5312 0.000
7 41917 0.000
5 20534 0.000
4 40110 0.000
2 40104 0.000
25 20725 0.000
Node Katz Centrality
18 467 0.215
16 465 0.214
15 464 0.214
23 20718 0.212
1 25505 0.212
19 20571 0.211
14 463 0.205
17 466 0.205
11 5315 0.203
6 41916 0.203
10 5314 0.202
3 40105 0.202
21 20576 0.194
12 20554 0.194
20 20572 0.184
22 20716 0.184
24 20723 0.184
13 20556 0.184
25 20725 0.184
5 20534 0.184
9 5313 0.183
8 5312 0.183
7 41917 0.183
4 40110 0.183
2 40104 0.183
0 42134 0.183
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 17 --------------------
---------- Graph Stats ----------
Nodes : 23 Edges : 23
Diameter : 6
Periphery : [6679, 6682, 6953, 6699, 6605, 6606, 6620, 6621, 6893]
Density of the graph: 0.11857707509881422
Average degree: 2.608695652173913
Size of the largest connected component: 23
Degree assortativity coefficient: -0.4300518134715037
Node Degree Centrality
0 512 0.182
6 6684 0.182
13 6604 0.182
8 6696 0.182
7 6685 0.182
22 511 0.182
5 6683 0.182
3 6681 0.182
16 6616 0.136
21 510 0.136
20 509 0.136
1 513 0.136
18 6621 0.091
17 6620 0.091
14 6605 0.091
2 6679 0.091
11 6700 0.091
15 6606 0.045
4 6682 0.045
12 6963 0.045
19 6893 0.045
10 6699 0.045
9 6953 0.045
Node Closeness Centrality
0 512 0.423
22 511 0.423
20 509 0.386
1 513 0.386
21 510 0.373
6 6684 0.367
5 6683 0.349
8 6696 0.349
7 6685 0.338
13 6604 0.338
3 6681 0.328
16 6616 0.324
11 6700 0.310
18 6621 0.297
2 6679 0.297
14 6605 0.297
17 6620 0.289
12 6963 0.272
19 6893 0.262
9 6953 0.262
15 6606 0.256
10 6699 0.256
4 6682 0.250
Node Betweenness Centrality
0 512 0.314
22 511 0.283
6 6684 0.196
7 6685 0.189
5 6683 0.178
8 6696 0.174
13 6604 0.171
3 6681 0.163
1 513 0.154
20 509 0.130
21 510 0.129
16 6616 0.085
2 6679 0.071
18 6621 0.047
14 6605 0.040
11 6700 0.032
17 6620 0.025
15 6606 0.000
10 6699 0.000
19 6893 0.000
9 6953 0.000
4 6682 0.000
12 6963 0.000
Node Katz Centrality
0 512 0.224
22 511 0.224
5 6683 0.222
6 6684 0.222
7 6685 0.222
8 6696 0.222
3 6681 0.221
13 6604 0.221
21 510 0.213
20 509 0.213
1 513 0.213
16 6616 0.211
2 6679 0.202
18 6621 0.202
17 6620 0.202
11 6700 0.202
14 6605 0.202
15 6606 0.191
10 6699 0.191
19 6893 0.191
9 6953 0.191
4 6682 0.191
12 6963 0.191
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 18 --------------------
---------- Graph Stats ----------
Nodes : 19 Edges : 19
Diameter : 5
Periphery : [5890, 5896, 5893, 5902, 1118, 5854, 5862, 5864, 5874, 5882]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.24768518518518623
Node Degree Centrality
2 516 0.278
0 514 0.222
12 1119 0.222
17 5883 0.222
18 5884 0.222
4 5894 0.222
1 515 0.167
11 1120 0.167
15 5874 0.111
9 1118 0.111
5 5890 0.056
6 5896 0.056
7 5893 0.056
8 5902 0.056
10 5854 0.056
13 5862 0.056
14 5864 0.056
16 5882 0.056
3 5892 0.056
Node Closeness Centrality
2 516 0.514
0 514 0.462
1 515 0.439
4 5894 0.400
18 5884 0.400
17 5883 0.391
12 1119 0.375
11 1120 0.353
3 5892 0.321
15 5874 0.321
9 1118 0.300
10 5854 0.290
13 5862 0.290
14 5864 0.290
7 5893 0.286
16 5882 0.286
5 5890 0.277
6 5896 0.277
8 5902 0.265
Node Betweenness Centrality
2 516 0.608
0 514 0.359
12 1119 0.261
17 5883 0.248
4 5894 0.216
1 515 0.190
18 5884 0.163
11 1120 0.150
9 1118 0.039
15 5874 0.020
7 5893 0.000
8 5902 0.000
6 5896 0.000
10 5854 0.000
5 5890 0.000
13 5862 0.000
14 5864 0.000
16 5882 0.000
3 5892 0.000
Node Katz Centrality
2 516 0.263
0 514 0.249
18 5884 0.249
4 5894 0.248
17 5883 0.247
12 1119 0.246
1 515 0.238
11 1120 0.235
15 5874 0.226
9 1118 0.225
3 5892 0.214
5 5890 0.214
6 5896 0.214
7 5893 0.214
10 5854 0.214
13 5862 0.214
14 5864 0.214
16 5882 0.214
8 5902 0.213
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 19 --------------------
---------- Graph Stats ----------
Nodes : 17 Edges : 17
Diameter : 6
Periphery : [8156, 8148, 8124]
Density of the graph: 0.16176470588235295
Average degree: 2.588235294117647
Size of the largest connected component: 17
Degree assortativity coefficient: -0.13304721030042904
Node Degree Centrality
12 8153 0.312
2 519 0.250
3 520 0.250
14 8155 0.250
6 8145 0.250
1 518 0.250
0 517 0.188
13 8154 0.188
7 8146 0.188
11 8152 0.125
8 8147 0.125
10 8151 0.062
9 8148 0.062
5 8156 0.062
4 8137 0.062
15 8124 0.062
16 8157 0.062
Node Closeness Centrality
2 519 0.471
0 517 0.457
3 520 0.457
1 518 0.457
12 8153 0.444
14 8155 0.410
6 8145 0.381
11 8152 0.372
13 8154 0.364
7 8146 0.364
8 8147 0.320
10 8151 0.314
16 8157 0.296
9 8148 0.281
15 8124 0.281
5 8156 0.271
4 8137 0.271
Node Betweenness Centrality
1 518 0.300
0 517 0.263
2 519 0.262
12 8153 0.246
6 8145 0.242
3 520 0.188
14 8155 0.175
13 8154 0.175
7 8146 0.175
11 8152 0.033
8 8147 0.033
10 8151 0.000
9 8148 0.000
5 8156 0.000
4 8137 0.000
15 8124 0.000
16 8157 0.000
Node Katz Centrality
12 8153 0.271
3 520 0.262
2 519 0.261
1 518 0.260
14 8155 0.258
6 8145 0.258
0 517 0.248
13 8154 0.245
7 8146 0.245
11 8152 0.236
8 8147 0.234
10 8151 0.223
9 8148 0.222
5 8156 0.222
4 8137 0.222
15 8124 0.222
16 8157 0.222
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 20 --------------------
---------- Graph Stats ----------
Nodes : 34 Edges : 34
Diameter : 8
Periphery : [5424, 5447, 5367, 5368]
Density of the graph: 0.0748663101604278
Average degree: 2.4705882352941178
Size of the largest connected component: 34
Degree assortativity coefficient: -0.4439461883408069
Node Degree Centrality
26 5444 0.121
23 5438 0.121
1 528 0.121
4 531 0.121
5 532 0.121
15 5423 0.121
7 534 0.121
13 5421 0.121
20 5433 0.121
11 5418 0.121
0 527 0.091
25 5443 0.091
19 5432 0.091
8 535 0.091
6 533 0.091
3 530 0.091
2 529 0.091
31 5450 0.061
24 5442 0.061
30 5449 0.061
17 5424 0.061
14 5422 0.061
10 5417 0.061
21 5436 0.030
22 5437 0.030
18 5431 0.030
16 7984 0.030
12 5420 0.030
27 5445 0.030
28 5447 0.030
29 5448 0.030
9 5391 0.030
32 5367 0.030
33 5368 0.030
Node Closeness Centrality
1 528 0.363
0 527 0.344
7 534 0.333
4 531 0.320
5 532 0.308
2 529 0.303
8 535 0.300
19 5432 0.297
3 530 0.292
6 533 0.287
20 5433 0.277
23 5438 0.268
13 5421 0.268
26 5444 0.264
11 5418 0.262
14 5422 0.262
15 5423 0.248
25 5443 0.244
30 5449 0.241
10 5417 0.241
24 5442 0.232
31 5450 0.228
17 5424 0.224
21 5436 0.219
18 5431 0.219
22 5437 0.213
16 7984 0.213
12 5420 0.213
9 5391 0.213
27 5445 0.210
29 5448 0.210
33 5368 0.209
32 5367 0.200
28 5447 0.198
Node Betweenness Centrality
1 528 0.364
7 534 0.347
5 532 0.254
0 527 0.252
4 531 0.219
8 535 0.191
26 5444 0.162
23 5438 0.155
20 5433 0.145
2 529 0.140
6 533 0.138
13 5421 0.136
11 5418 0.133
19 5432 0.122
3 530 0.099
15 5423 0.098
25 5443 0.078
10 5417 0.053
14 5422 0.044
17 5424 0.031
30 5449 0.016
24 5442 0.011
31 5450 0.009
18 5431 0.000
21 5436 0.000
22 5437 0.000
16 7984 0.000
12 5420 0.000
9 5391 0.000
27 5445 0.000
28 5447 0.000
29 5448 0.000
32 5367 0.000
33 5368 0.000
Node Katz Centrality
7 534 0.186
1 528 0.186
4 531 0.185
5 532 0.184
11 5418 0.183
15 5423 0.183
20 5433 0.183
13 5421 0.183
26 5444 0.183
23 5438 0.183
0 527 0.177
19 5432 0.177
3 530 0.177
6 533 0.176
2 529 0.176
8 535 0.176
25 5443 0.175
17 5424 0.168
14 5422 0.168
10 5417 0.168
24 5442 0.167
30 5449 0.167
31 5450 0.167
18 5431 0.159
16 7984 0.159
21 5436 0.159
22 5437 0.159
12 5420 0.159
9 5391 0.159
27 5445 0.159
29 5448 0.159
32 5367 0.159
33 5368 0.159
28 5447 0.158
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 21 --------------------
---------- Graph Stats ----------
Nodes : 13 Edges : 13
Diameter : 5
Periphery : [4480, 4487, 4484, 4476]
Density of the graph: 0.19230769230769232
Average degree: 2.3076923076923075
Size of the largest connected component: 13
Degree assortativity coefficient: -0.4285714285714284
Node Degree Centrality
0 544 0.333
4 4481 0.333
9 4371 0.333
11 4373 0.333
1 545 0.250
2 546 0.167
3 547 0.167
10 4372 0.167
5 4485 0.083
6 4480 0.083
7 4487 0.083
8 4484 0.083
12 4476 0.083
Node Closeness Centrality
0 544 0.545
11 4373 0.522
1 545 0.480
4 4481 0.462
9 4371 0.444
10 4372 0.429
2 546 0.387
3 547 0.353
5 4485 0.353
6 4480 0.324
8 4484 0.324
7 4487 0.316
12 4476 0.316
Node Betweenness Centrality
0 544 0.414
11 4373 0.375
4 4481 0.352
9 4371 0.344
1 545 0.204
10 4372 0.091
2 546 0.046
3 547 0.023
5 4485 0.000
6 4480 0.000
7 4487 0.000
8 4484 0.000
12 4476 0.000
Node Katz Centrality
0 544 0.302
11 4373 0.300
4 4481 0.299
9 4371 0.298
1 545 0.287
10 4372 0.274
2 546 0.272
3 547 0.272
5 4485 0.259
6 4480 0.259
7 4487 0.259
8 4484 0.259
12 4476 0.259
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 22 --------------------
---------- Graph Stats ----------
Nodes : 52 Edges : 52
Diameter : 30
Periphery : [37004, 37005, 37015, 37018, 37019, 2024]
Density of the graph: 0.04524886877828054
Average degree: 2.3076923076923075
Size of the largest connected component: 52
Degree assortativity coefficient: 0.19852602487333107
Node Degree Centrality
27 566 0.078
21 560 0.078
15 554 0.078
0 37003 0.059
17 556 0.059
50 2025 0.059
48 2023 0.059
47 36197 0.059
30 569 0.059
28 567 0.059
25 564 0.059
24 563 0.059
23 562 0.059
20 559 0.059
19 558 0.059
18 557 0.059
26 565 0.059
16 555 0.059
10 1189 0.059
5 37017 0.059
14 553 0.059
12 551 0.059
13 552 0.059
49 2024 0.039
45 590 0.039
44 589 0.039
43 588 0.039
35 574 0.039
41 580 0.039
40 579 0.039
39 578 0.039
38 577 0.039
37 576 0.039
36 575 0.039
42 587 0.039
34 573 0.039
33 572 0.039
32 571 0.039
31 570 0.039
29 568 0.039
1 37004 0.039
22 561 0.039
6 37018 0.020
7 37019 0.020
8 37020 0.020
9 1187 0.020
46 36196 0.020
4 37016 0.020
3 37015 0.020
11 1190 0.020
2 37005 0.020
51 36207 0.020
Node Closeness Centrality
34 573 0.107
38 577 0.107
36 575 0.106
29 568 0.106
37 576 0.105
22 561 0.105
43 588 0.104
18 557 0.104
15 554 0.102
45 590 0.102
42 587 0.100
17 556 0.099
14 553 0.098
41 580 0.098
35 574 0.096
13 552 0.096
16 555 0.095
12 551 0.093
10 1189 0.093
33 572 0.093
47 36197 0.090
31 570 0.090
20 559 0.088
32 571 0.087
11 1190 0.085
9 1187 0.085
44 589 0.084
46 36196 0.083
21 560 0.083
19 558 0.083
51 36207 0.083
39 578 0.080
48 2023 0.077
50 2025 0.077
40 579 0.077
0 37003 0.077
30 569 0.074
1 37004 0.072
3 37015 0.072
49 2024 0.072
2 37005 0.072
27 566 0.071
26 565 0.071
28 567 0.067
25 564 0.067
23 562 0.067
24 563 0.064
8 37020 0.063
4 37016 0.063
5 37017 0.060
7 37019 0.057
6 37018 0.057
Node Betweenness Centrality
34 573 0.510
38 577 0.510
36 575 0.508
29 568 0.508
37 576 0.505
22 561 0.505
18 557 0.503
43 588 0.500
45 590 0.494
42 587 0.486
41 580 0.477
35 574 0.466
33 572 0.453
31 570 0.439
32 571 0.424
44 589 0.406
39 578 0.387
40 579 0.367
15 554 0.353
30 569 0.345
12 551 0.326
20 559 0.296
14 553 0.277
27 566 0.165
17 556 0.165
21 560 0.160
13 552 0.148
26 565 0.132
24 563 0.116
25 564 0.107
19 558 0.089
5 37017 0.078
47 36197 0.078
10 1189 0.078
23 562 0.075
48 2023 0.057
0 37003 0.057
28 567 0.039
50 2025 0.039
16 555 0.006
49 2024 0.003
1 37004 0.002
11 1190 0.000
9 1187 0.000
8 37020 0.000
7 37019 0.000
6 37018 0.000
4 37016 0.000
46 36196 0.000
3 37015 0.000
2 37005 0.000
51 36207 0.000
Node Katz Centrality
21 560 0.151
15 554 0.151
27 566 0.151
26 565 0.144
17 556 0.144
16 555 0.144
14 553 0.144
13 552 0.144
12 551 0.144
20 559 0.144
23 562 0.144
19 558 0.144
24 563 0.144
28 567 0.144
30 569 0.144
18 557 0.144
25 564 0.143
48 2023 0.143
50 2025 0.143
0 37003 0.143
10 1189 0.143
47 36197 0.142
5 37017 0.142
49 2024 0.137
1 37004 0.137
36 575 0.136
35 574 0.136
43 588 0.136
42 587 0.136
41 580 0.136
40 579 0.136
39 578 0.136
38 577 0.136
37 576 0.136
32 571 0.136
34 573 0.136
33 572 0.136
45 590 0.136
31 570 0.136
29 568 0.136
22 561 0.136
44 589 0.136
46 36196 0.129
3 37015 0.129
2 37005 0.129
11 1190 0.129
4 37016 0.129
6 37018 0.129
7 37019 0.129
8 37020 0.129
9 1187 0.129
51 36207 0.129
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 23 --------------------
---------- Graph Stats ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [22151, 21926, 21927, 31944, 22106, 22108, 17398]
Density of the graph: 0.13450292397660818
Average degree: 2.4210526315789473
Size of the largest connected component: 19
Degree assortativity coefficient: -0.07430997876857752
Node Degree Centrality
8 585 0.333
9 586 0.167
17 22113 0.167
3 944 0.167
4 581 0.167
5 582 0.167
6 583 0.167
15 22107 0.167
11 22098 0.167
12 22099 0.167
13 22105 0.167
7 584 0.111
16 22108 0.111
14 22106 0.056
0 22151 0.056
10 31944 0.056
1 21926 0.056
2 21927 0.056
18 17398 0.056
Node Closeness Centrality
8 585 0.462
7 584 0.409
9 586 0.391
6 583 0.383
3 944 0.367
5 582 0.367
13 22105 0.346
15 22107 0.340
17 22113 0.340
4 581 0.333
12 22099 0.310
11 22098 0.300
10 31944 0.273
16 22108 0.261
18 17398 0.261
14 22106 0.261
1 21926 0.240
2 21927 0.234
0 22151 0.234
Node Betweenness Centrality
8 585 0.618
6 583 0.340
7 584 0.271
9 586 0.216
11 22098 0.216
13 22105 0.216
5 582 0.186
3 944 0.111
12 22099 0.111
4 581 0.108
17 22113 0.052
15 22107 0.052
14 22106 0.000
16 22108 0.000
0 22151 0.000
10 31944 0.000
1 21926 0.000
2 21927 0.000
18 17398 0.000
Node Katz Centrality
8 585 0.271
9 586 0.237
17 22113 0.237
15 22107 0.237
3 944 0.236
4 581 0.236
5 582 0.236
6 583 0.235
12 22099 0.235
13 22105 0.235
11 22098 0.233
7 584 0.226
16 22108 0.224
14 22106 0.212
0 22151 0.212
10 31944 0.212
1 21926 0.212
2 21927 0.212
18 17398 0.212
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 24 --------------------
---------- Graph Stats ----------
Nodes : 8 Edges : 8
Diameter : 4
Periphery : [593, 36021, 36017, 36022]
Density of the graph: 0.2857142857142857
Average degree: 2.0
Size of the largest connected component: 8
Degree assortativity coefficient: -0.3333333333333333
Node Degree Centrality
1 594 0.429
2 595 0.429
3 596 0.429
5 36020 0.429
0 593 0.143
4 36021 0.143
6 36017 0.143
7 36022 0.143
Node Closeness Centrality
2 595 0.636
1 594 0.538
3 596 0.538
5 36020 0.538
0 593 0.368
4 36021 0.368
6 36017 0.368
7 36022 0.368
Node Betweenness Centrality
2 595 0.571
5 36020 0.524
1 594 0.286
3 596 0.286
0 593 0.000
4 36021 0.000
6 36017 0.000
7 36022 0.000
Node Katz Centrality
2 595 0.372
1 594 0.371
3 596 0.371
5 36020 0.369
0 593 0.335
4 36021 0.335
6 36017 0.335
7 36022 0.335
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 25 --------------------
---------- Graph Stats ----------
Nodes : 15 Edges : 15
Diameter : 5
Periphery : [6858, 7250, 6007, 7351, 7067, 7068, 7261, 7263]
Density of the graph: 0.1523809523809524
Average degree: 2.1333333333333333
Size of the largest connected component: 15
Degree assortativity coefficient: -0.3333333333333333
Node Degree Centrality
6 597 0.286
10 7066 0.286
0 6851 0.214
1 599 0.214
3 6859 0.214
5 7251 0.214
7 598 0.214
14 7263 0.143
2 6858 0.071
4 7250 0.071
8 6007 0.071
9 7351 0.071
11 7067 0.071
12 7068 0.071
13 7261 0.071
Node Closeness Centrality
6 597 0.500
7 598 0.467
1 599 0.452
5 7251 0.412
10 7066 0.400
0 6851 0.378
3 6859 0.350
14 7263 0.350
4 7250 0.298
9 7351 0.292
12 7068 0.292
8 6007 0.280
13 7261 0.280
2 6858 0.264
11 7067 0.264
Node Betweenness Centrality
6 597 0.495
1 599 0.363
10 7066 0.308
7 598 0.286
0 6851 0.275
3 6859 0.275
5 7251 0.209
14 7263 0.066
2 6858 0.000
4 7250 0.000
8 6007 0.000
9 7351 0.000
11 7067 0.000
12 7068 0.000
13 7261 0.000
Node Katz Centrality
6 597 0.283
10 7066 0.280
7 598 0.271
1 599 0.270
5 7251 0.269
0 6851 0.268
3 6859 0.267
14 7263 0.257
2 6858 0.243
4 7250 0.243
8 6007 0.243
9 7351 0.243
11 7067 0.243
12 7068 0.243
13 7261 0.243
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 26 --------------------
---------- Graph Stats ----------
Nodes : 20 Edges : 20
Diameter : 6
Periphery : [3469, 3473, 3478, 3497, 3504, 3439, 3451, 3453]
Density of the graph: 0.13157894736842105
Average degree: 2.5
Size of the largest connected component: 20
Degree assortativity coefficient: -0.3888888888888894
Node Degree Centrality
7 3484 0.263
10 3498 0.211
1 3470 0.211
5 664 0.211
13 601 0.211
12 600 0.211
18 3452 0.158
15 603 0.158
4 663 0.158
14 602 0.158
0 3469 0.105
8 3494 0.105
6 665 0.105
11 3504 0.053
9 3497 0.053
3 3478 0.053
16 3439 0.053
17 3451 0.053
2 3473 0.053
19 3453 0.053
Node Closeness Centrality
12 600 0.452
13 601 0.442
15 603 0.404
14 602 0.396
10 3498 0.388
7 3484 0.380
1 3470 0.365
4 663 0.358
8 3494 0.352
18 3452 0.345
5 664 0.333
6 665 0.311
0 3469 0.302
11 3504 0.284
9 3497 0.279
3 3478 0.279
2 3473 0.271
19 3453 0.260
16 3439 0.253
17 3451 0.253
Node Betweenness Centrality
12 600 0.338
13 601 0.285
15 603 0.277
7 3484 0.270
5 664 0.228
1 3470 0.194
14 602 0.180
10 3498 0.177
18 3452 0.137
4 663 0.104
8 3494 0.066
6 665 0.035
0 3469 0.018
11 3504 0.000
9 3497 0.000
3 3478 0.000
16 3439 0.000
17 3451 0.000
2 3473 0.000
19 3453 0.000
Node Katz Centrality
7 3484 0.250
13 601 0.242
12 600 0.241
10 3498 0.240
1 3470 0.238
5 664 0.237
15 603 0.230
18 3452 0.229
14 602 0.229
4 663 0.228
0 3469 0.218
8 3494 0.218
6 665 0.218
9 3497 0.207
3 3478 0.207
11 3504 0.206
16 3439 0.206
17 3451 0.206
2 3473 0.206
19 3453 0.206
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 27 --------------------
---------- Graph Stats ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [674, 41892, 692, 36182, 36190, 41825]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.3699633699633703
Node Degree Centrality
10 36183 0.222
3 675 0.222
4 676 0.222
11 604 0.222
18 607 0.167
17 41826 0.167
15 608 0.167
14 606 0.167
1 673 0.167
12 605 0.111
0 672 0.111
8 36179 0.111
7 695 0.056
13 36190 0.056
6 692 0.056
5 41892 0.056
16 41825 0.056
2 674 0.056
9 36182 0.056
Node Closeness Centrality
11 604 0.462
14 606 0.429
4 676 0.419
18 607 0.391
15 608 0.391
3 675 0.383
12 605 0.375
10 36183 0.360
8 36179 0.333
1 673 0.333
17 41826 0.327
0 672 0.327
7 695 0.300
6 692 0.281
13 36190 0.269
9 36182 0.269
2 674 0.254
5 41892 0.250
16 41825 0.250
Node Betweenness Centrality
11 604 0.387
14 606 0.383
4 676 0.279
3 675 0.237
10 36183 0.237
17 41826 0.216
18 607 0.209
1 673 0.144
15 608 0.087
0 672 0.065
8 36179 0.049
12 605 0.026
7 695 0.000
13 36190 0.000
6 692 0.000
5 41892 0.000
16 41825 0.000
2 674 0.000
9 36182 0.000
Node Katz Centrality
11 604 0.250
4 676 0.249
3 675 0.248
10 36183 0.247
14 606 0.238
18 607 0.237
15 608 0.237
1 673 0.236
17 41826 0.235
12 605 0.226
0 672 0.226
8 36179 0.226
7 695 0.214
13 36190 0.214
6 692 0.214
5 41892 0.214
16 41825 0.214
2 674 0.214
9 36182 0.214
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 28 --------------------
---------- Graph Stats ----------
Nodes : 26 Edges : 26
Diameter : 9
Periphery : [768, 109371, 109373]
Density of the graph: 0.08923076923076922
Average degree: 2.230769230769231
Size of the largest connected component: 26
Degree assortativity coefficient: -0.4846416382252563
Node Degree Centrality
2 661 0.16
3 662 0.16
5 37031 0.16
14 836 0.16
25 624 0.12
16 615 0.12
7 1494580 0.12
21 620 0.12
20 619 0.12
19 618 0.12
17 616 0.12
24 623 0.08
23 622 0.08
22 621 0.08
18 617 0.08
13 834 0.08
1 36225 0.08
15 139985 0.04
12 109373 0.04
11 109372 0.04
10 109371 0.04
9 1494587 0.04
8 1494584 0.04
6 37033 0.04
4 37030 0.04
0 768 0.04
Node Closeness Centrality
19 618 0.309
18 617 0.301
16 615 0.294
20 619 0.287
21 620 0.278
17 616 0.275
25 624 0.266
22 621 0.260
7 1494580 0.258
23 622 0.255
5 37031 0.253
24 623 0.250
2 661 0.243
3 662 0.236
1 36225 0.236
14 836 0.234
13 834 0.216
8 1494584 0.207
9 1494587 0.203
6 37033 0.203
4 37030 0.203
10 109371 0.197
15 139985 0.192
11 109372 0.192
12 109373 0.191
0 768 0.191
Node Betweenness Centrality
19 618 0.450
16 615 0.322
18 617 0.317
21 620 0.302
20 619 0.297
5 37031 0.230
25 624 0.208
3 662 0.185
14 836 0.183
2 661 0.182
17 616 0.182
22 621 0.168
24 623 0.160
23 622 0.160
7 1494580 0.148
1 36225 0.043
13 834 0.010
15 139985 0.000
12 109373 0.000
11 109372 0.000
10 109371 0.000
9 1494587 0.000
8 1494584 0.000
6 37033 0.000
4 37030 0.000
0 768 0.000
Node Katz Centrality
2 661 0.214
3 662 0.213
14 836 0.212
5 37031 0.211
25 624 0.204
21 620 0.204
19 618 0.204
17 616 0.204
20 619 0.203
7 1494580 0.203
16 615 0.203
18 617 0.194
13 834 0.194
1 36225 0.193
22 621 0.193
23 622 0.193
24 623 0.193
12 109373 0.184
15 139985 0.184
11 109372 0.184
10 109371 0.184
9 1494587 0.184
8 1494584 0.184
6 37033 0.184
4 37030 0.184
0 768 0.184
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
-------------------------------------------------- -------------------- Graph 29 --------------------
---------- Graph Stats ----------
Nodes : 15 Edges : 15
Diameter : 8
Periphery : [12654, 12655, 631, 12794, 12604, 639]
Density of the graph: 0.13333333333333333
Average degree: 1.8666666666666667
Size of the largest connected component: 15
Degree assortativity coefficient: -0.3162393162393155
Node Degree Centrality
1 648 0.214
2 12653 0.214
5 625 0.214
9 629 0.214
0 12608 0.143
6 626 0.143
7 627 0.143
8 628 0.143
10 630 0.143
3 12654 0.071
4 12655 0.071
11 631 0.071
12 12794 0.071
13 12604 0.071
14 639 0.071
Node Closeness Centrality
6 626 0.341
5 625 0.333
7 627 0.333
8 628 0.311
9 629 0.280
1 648 0.275
2 12653 0.275
0 12608 0.230
10 630 0.230
3 12654 0.219
4 12655 0.219
12 12794 0.219
14 639 0.219
11 631 0.189
13 12604 0.189
Node Betweenness Centrality
5 625 0.626
6 626 0.538
7 627 0.527
8 628 0.495
9 629 0.484
1 648 0.275
2 12653 0.275
0 12608 0.143
10 630 0.143
3 12654 0.000
4 12655 0.000
11 631 0.000
12 12794 0.000
13 12604 0.000
14 639 0.000
Node Katz Centrality
5 625 0.274
1 648 0.272
2 12653 0.272
9 629 0.272
6 626 0.260
7 627 0.260
8 628 0.260
0 12608 0.259
10 630 0.259
3 12654 0.247
4 12655 0.247
12 12794 0.247
14 639 0.247
11 631 0.246
13 12604 0.246
Bridges in Graph : [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
print(f"Largest connected component : {max(nx.connected_components(G), key=len)}")
Largest connected component : {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 2146, 36963, 36964, 36966, 36967, 104, 105, 106, 36971, 108, 109, 110, 111, 112, 113, 114, 107, 36974, 36975, 116, 119, 118, 117, 115, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 36992, 36993, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 2203, 2204, 2202, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 2220, 175, 176, 177, 178, 179, 180, 181, 182, 183, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 2256, 2258, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 327, 331, 332, 333, 338, 339, 340, 341, 342, 343, 344, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 404, 405, 410, 411, 419, 420, 422, 423, 424, 425, 426, 427, 432, 433, 434, 435, 440, 441, 442, 443, 444, 452, 453, 454, 455, 460, 461, 462, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 521, 522, 523, 524, 525, 526, 536, 537, 538, 539, 540, 541, 542, 543, 548, 549, 550, 37415, 35405, 2155, 120, 2156, 121, 2157, 122, 2158, 2161, 37498, 156, 157, 41752, 41753, 41754, 41755, 41756, 41757, 41758, 41759, 41760, 41761, 41762, 41763, 41764, 174, 35695, 35696, 35698, 35699, 35703, 35709, 35710, 35717, 35728, 35729, 35731, 35734, 35735, 35739, 2219, 35746, 35747, 35748, 35749, 2221, 1610675, 35768, 35769, 35770, 35771, 35772, 35773, 35774, 35775, 35795, 35796, 35797, 35799, 35800, 35803, 35805, 35809, 35818, 35841, 35844, 35845, 35846, 35847, 35848, 35850, 35851, 35852, 35854, 35863, 1048, 1049, 1050, 1052, 1055, 1056, 1057, 1058, 35881, 1068, 1069, 1070, 1071, 1072, 1073, 1075, 1076, 2251, 1089, 1090, 2252, 42052, 42053, 42054, 1092, 1093, 1096, 42058, 1099, 1100, 1101, 2254, 1103, 1098, 42066, 42067, 1110, 42073, 42074, 42076, 42077, 42078, 42079, 1116, 42081, 42082, 1124, 35943, 35950, 1143, 3204, 1156, 1158, 1159, 1157, 1165, 1166, 1167, 3246, 3247, 3248, 3249, 3252, 3253, 3254, 3255, 3257, 36178, 36184, 36185, 36186, 36187, 36193, 36200, 36201, 36202, 36210, 36211, 36212, 36215, 36218, 36219, 36235, 42570, 42582, 42583, 42584, 42585, 42586, 42587, 42588, 42594, 42595, 42596, 42597, 42598, 1594983, 42600, 1594982, 1594984, 1594985, 36965, 1607298, 1607299, 32419, 36976, 36977, 36978, 36979, 36980, 36981, 36982, 36983, 36984, 36985, 36986, 36987, 36991, 1603442, 1603443, 1918, 1919, 1920, 158, 1593601}
nx.diameter(G) # NetworkXError: Found infinite path length because the graph is not connected
# Refer graph statistics for diameter details
# Density
density = nx.density(graph)
print(f"Density of the graph: {density}")
# Max and Min degree
degrees = dict(graph.degree())
max_degree = max(degrees.values())
min_degree = min(degrees.values())
# Average degree
avg_degree = (2 * num_edges) / num_nodes
print(f"Average degree: {avg_degree}")
# Number of connected components
connected_components = list(nx.connected_components(graph))
largest_component_size = max(len(c) for c in connected_components) # Find the size of the largest connected component
print(f"Size of the largest connected component: {largest_component_size}")
# Degree assortativity
assortativity = nx.degree_assortativity_coefficient(graph)
print(f"Degree assortativity coefficient: {assortativity}")
Density of the graph: 0.13333333333333333 Average degree: 1.8666666666666667 Size of the largest connected component: 15 Degree assortativity coefficient: -0.3162393162393155
print(nx.clustering(G))
Clustering_coeff=nx.clustering(G)
res = {key : round(Clustering_coeff[key], 3) for key in Clustering_coeff}
df=pd.DataFrame(res.items(), columns=["Node", "Clustering_coeff"])
print(df.sort_values('Clustering_coeff',ascending=False))
df.to_csv('Clustering_coeff.csv')
{0: 0, 1: 0, 2: 0, 469: 0, 6: 0, 385: 0, 3: 0, 380: 0, 37415: 0, 5: 0.3333333333333333, 384: 0, 386: 0, 4: 0.16666666666666666, 419: 0, 422: 0, 98: 0.16666666666666666, 420: 0, 35698: 0, 183: 0, 423: 0, 470: 0, 35729: 0, 35709: 0, 7: 0, 8: 0, 9: 0.3333333333333333, 79: 0, 33: 0, 10: 0.3333333333333333, 84: 0.16666666666666666, 78: 0, 119: 0, 32: 0, 34: 0, 11: 0.3333333333333333, 110: 0.3333333333333333, 83: 0, 85: 0, 12: 0.16666666666666666, 111: 0.3333333333333333, 112: 0.16666666666666666, 13: 0.16666666666666666, 95: 0.3333333333333333, 108: 0.16666666666666666, 14: 0, 94: 0, 109: 0.3333333333333333, 113: 0.3333333333333333, 123: 0, 96: 0, 15: 0, 16: 0, 77: 0, 93: 0, 17: 0.16666666666666666, 18: 0.3333333333333333, 3254: 0.16666666666666666, 19: 0, 3255: 0, 36971: 0, 20: 0, 23: 0, 21: 0, 22: 0, 24: 0, 25: 0, 26: 0, 27: 0, 28: 0, 29: 0, 30: 0, 31: 0, 3247: 0, 3253: 0, 35943: 0, 3246: 0, 3248: 0, 3249: 0, 3204: 0, 35950: 0, 2203: 0, 3252: 0, 3257: 0, 2146: 0, 2204: 0, 35: 0, 36: 0, 50: 0, 1199: 0.3333333333333333, 37: 0.3333333333333333, 35885: 0, 1645159: 0, 49: 0, 185: 0, 1198: 0.16666666666666666, 1205: 1.0, 38: 0.3333333333333333, 1641586: 0.3333333333333333, 35884: 0, 1645157: 0, 1645156: 0, 1648644: 0, 39: 0, 1633418: 0, 40: 0, 1641587: 0, 41: 0, 1641577: 0, 1641576: 0, 1641606: 0, 42: 0.3333333333333333, 1641355: 0, 1641363: 0, 43: 0.3333333333333333, 1639779: 0.3333333333333333, 1628954: 0, 1639780: 0, 44: 0, 45: 0, 1542024: 0, 46: 0.16666666666666666, 1154: 0, 1538392: 0, 1542023: 0, 1639781: 0, 47: 0.3333333333333333, 27108: 0, 27325: 0.16666666666666666, 1153: 0, 1155: 0, 1538362: 0, 1538390: 0, 1538391: 0, 48: 0, 27107: 0, 27250: 0, 27323: 0, 27335: 0, 27343: 0, 184: 0, 27342: 0, 35887: 0, 39411: 0, 35886: 0, 52: 0.3333333333333333, 53: 0.16666666666666666, 54: 0.3333333333333333, 4152: 0, 223: 0, 225: 0, 4120: 0, 4148: 0, 4153: 0, 4156: 0, 224: 0, 3937: 0, 4113: 0, 4114: 0, 4154: 0, 55: 0, 56: 0, 57: 0, 1068: 0.1, 1099: 0, 76: 0, 1069: 0.3333333333333333, 58: 0, 1071: 0, 1072: 0, 1096: 0, 1116: 1.0, 36235: 0, 74: 0, 1075: 0, 59: 0, 1089: 0.16666666666666666, 32419: 0, 1070: 0, 1098: 0, 1110: 0, 60: 0, 61: 0, 62: 0, 171: 0.3333333333333333, 172: 0.3333333333333333, 63: 0, 64: 0, 339: 0, 65: 0, 2220: 0, 338: 0.16666666666666666, 341: 0, 36187: 0, 66: 0, 2155: 0, 2157: 0, 2219: 0, 2221: 0, 67: 0, 68: 0.16666666666666666, 2254: 0, 2156: 0, 2158: 0, 2161: 0, 69: 0, 70: 0.16666666666666666, 2251: 0.3333333333333333, 2252: 0, 71: 0, 1052: 0, 72: 0, 1049: 0, 1050: 0, 2256: 0, 2258: 0, 73: 0, 1048: 0, 75: 0, 1073: 0, 1076: 0, 80: 0, 455: 0, 81: 0, 105: 0, 454: 0, 116: 0, 118: 0, 342: 0.16666666666666666, 82: 0, 104: 0.16666666666666666, 107: 0.3333333333333333, 124: 0.3333333333333333, 114: 0, 86: 0.16666666666666666, 87: 0.3333333333333333, 88: 0.3333333333333333, 128: 0.16666666666666666, 315: 0, 97: 0.16666666666666666, 134: 0.3333333333333333, 89: 0, 146: 0, 129: 0.16666666666666666, 452: 0, 135: 0.3333333333333333, 316: 0.3333333333333333, 90: 0, 91: 0, 92: 0, 133: 0, 132: 0, 139: 0, 410: 0.16666666666666666, 471: 0, 35881: 0, 35728: 0, 99: 0.16666666666666666, 100: 0, 101: 0.16666666666666666, 136: 0.2, 6790: 0.2, 103: 0, 137: 0.16666666666666666, 6760: 0, 102: 0, 6771: 0.16666666666666666, 421: 0.3333333333333333, 6792: 0.3333333333333333, 6805: 0.16666666666666666, 6791: 0, 6802: 1.0, 6713: 0, 6748: 0, 6764: 0, 6757: 0, 6733: 0, 6738: 0.06666666666666667, 6772: 1.0, 6722: 0, 6734: 0, 6736: 0, 6737: 0, 6765: 0, 6711: 0, 6714: 0, 6717: 0, 6747: 0, 6759: 0, 106: 0.16666666666666666, 151: 0, 150: 0, 152: 0, 115: 0.16666666666666666, 117: 0.16666666666666666, 120: 0.16666666666666666, 169: 0.3333333333333333, 122: 0, 121: 0.3333333333333333, 170: 0, 36184: 0, 453: 0, 340: 0.3333333333333333, 36185: 0, 125: 0.2, 126: 0.3333333333333333, 127: 0.16666666666666666, 176: 0.3333333333333333, 355: 0, 383: 0, 354: 0, 353: 0, 443: 0, 381: 0, 153: 0.16666666666666666, 155: 0.3333333333333333, 37498: 0, 356: 0, 358: 0, 442: 0, 130: 0.16666666666666666, 154: 0.16666666666666666, 444: 0, 145: 0, 41762: 0, 131: 0, 359: 0, 36966: 0, 41761: 0, 138: 0, 387: 0, 6770: 0.3333333333333333, 6793: 0.1, 6797: 0, 6763: 0, 6766: 0, 388: 0, 140: 0.3333333333333333, 141: 0.3333333333333333, 142: 0.3333333333333333, 391: 0, 389: 0, 392: 0.3333333333333333, 390: 0, 143: 0, 144: 0.16666666666666666, 177: 0, 178: 0.3333333333333333, 186: 0.3333333333333333, 187: 0, 41763: 0, 147: 0, 148: 0, 149: 0, 166: 0, 167: 0, 168: 0, 317: 0, 162: 0, 36963: 0, 303: 0, 318: 0, 357: 0, 156: 0.3333333333333333, 157: 0.3333333333333333, 158: 0.3333333333333333, 1057: 0.3333333333333333, 175: 0.3333333333333333, 1093: 0.3333333333333333, 159: 0, 1058: 0, 173: 0, 160: 0, 1056: 0, 161: 0, 36965: 0, 1055: 0, 36964: 0, 163: 0, 164: 0, 165: 0, 174: 0, 314: 0, 179: 0.16666666666666666, 180: 0, 181: 0, 425: 0.3333333333333333, 42066: 0.16666666666666666, 379: 0, 434: 0, 182: 0, 426: 0.16666666666666666, 35695: 0.16666666666666666, 424: 0.3333333333333333, 42067: 0, 42074: 0, 435: 0, 460: 0.16666666666666666, 42076: 0, 35699: 0, 35696: 0, 35703: 1.0, 35746: 0.3333333333333333, 35890: 0, 35891: 0, 35892: 0, 35895: 0, 312: 0, 41764: 0, 188: 0, 189: 0, 190: 0, 369: 0.3333333333333333, 191: 0, 193: 0, 351: 0, 367: 0.3333333333333333, 368: 1.0, 441: 0, 360: 0, 440: 0, 192: 0, 195: 0, 461: 0, 350: 0, 371: 0, 194: 0, 201: 0, 203: 0, 375: 0.3333333333333333, 202: 0, 352: 0, 462: 0, 373: 0, 374: 0.3333333333333333, 42079: 0.3333333333333333, 196: 0, 197: 0, 198: 0, 7178: 0, 200: 0, 23401: 0, 199: 0, 15697: 0, 7176: 0, 7179: 0, 503: 0, 24015: 0, 7332: 0, 15686: 0, 205: 0.16666666666666666, 372: 0.3333333333333333, 204: 0.16666666666666666, 206: 0, 213: 0.16666666666666666, 209: 0.3333333333333333, 207: 0.3333333333333333, 433: 0, 211: 0, 212: 0, 208: 0.3333333333333333, 344: 0.3333333333333333, 432: 0.16666666666666666, 260: 0.16666666666666666, 343: 0, 210: 0, 235: 0, 227: 0, 230: 0, 236: 0, 41752: 0, 370: 0, 41755: 0, 229: 0.3333333333333333, 261: 0, 226: 0, 234: 0, 214: 0.3333333333333333, 215: 0.3333333333333333, 216: 0.3333333333333333, 309: 0, 308: 0, 310: 0, 311: 0, 313: 0, 307: 0, 36178: 0, 217: 0, 218: 0, 222: 0.1, 7925: 0, 219: 0, 7923: 0, 221: 0, 4895: 0, 4899: 0.3333333333333333, 7926: 0.16666666666666666, 220: 0, 7922: 0, 7924: 0, 7931: 0, 7921: 0, 7901: 0, 7918: 0, 7932: 0, 7937: 0, 7881: 0, 7888: 0, 7882: 0, 7887: 0, 4896: 0, 4898: 0, 7927: 0, 43222: 0, 4109: 0, 4110: 0, 3940: 0, 3938: 0, 4100: 0, 4096: 0, 4099: 0, 4117: 0, 4149: 0, 228: 0.3333333333333333, 251: 0, 255: 0.3333333333333333, 273: 0, 233: 0, 254: 0, 259: 0.16666666666666666, 42078: 0.3333333333333333, 231: 0, 232: 0, 289: 0, 245: 0, 276: 0, 288: 0, 250: 0.3333333333333333, 244: 0, 246: 0, 247: 0.3333333333333333, 274: 0, 275: 0, 277: 0, 278: 0, 41753: 0, 41754: 0, 243: 0.3333333333333333, 248: 0.3333333333333333, 237: 0.3333333333333333, 238: 0.16666666666666666, 239: 0.1, 3930: 0, 241: 0, 3295: 0, 240: 0, 3271: 0, 3889: 0, 3931: 0, 3292: 0, 3296: 0, 4080: 0, 3276: 0, 3272: 0, 3888: 0, 3890: 0, 3275: 0, 3277: 0, 3291: 0, 242: 0, 36218: 0, 253: 0, 249: 0, 36219: 0, 252: 0, 1159: 0, 1158: 0, 256: 0, 257: 0, 258: 0, 272: 0, 35850: 0.16666666666666666, 42587: 0, 271: 0.3333333333333333, 35851: 0.16666666666666666, 36974: 0.3333333333333333, 42588: 0, 42586: 0, 36975: 0, 42077: 0, 262: 0, 263: 0, 264: 0, 549: 0, 550: 0, 265: 0, 267: 0, 548: 0, 279: 0, 36211: 0, 525: 0, 36210: 0, 266: 0, 268: 0, 1918: 0, 269: 0, 290: 0.16666666666666666, 297: 0.3333333333333333, 1919: 0, 36987: 0, 270: 0.3333333333333333, 42585: 0, 291: 0.3333333333333333, 327: 0.3333333333333333, 1920: 0, 296: 0.3333333333333333, 42583: 0.16666666666666666, 301: 0.3333333333333333, 42582: 0, 280: 0, 281: 0, 282: 0.16666666666666666, 35769: 0, 285: 0.3333333333333333, 42598: 0, 283: 0.3333333333333333, 286: 0.16666666666666666, 35773: 0, 35768: 0, 35852: 0, 284: 0.16666666666666666, 35845: 0.3333333333333333, 35846: 0.3333333333333333, 35841: 0, 35854: 0, 42600: 0, 287: 0, 35772: 0, 35775: 0, 35847: 0, 35844: 0, 35771: 0, 35774: 0, 42570: 0, 35848: 0, 36212: 0, 36215: 0, 292: 0.3333333333333333, 293: 0.16666666666666666, 480: 0.3333333333333333, 294: 0.16666666666666666, 35805: 0, 479: 0, 295: 0, 35795: 0.3333333333333333, 35796: 0.16666666666666666, 35797: 0, 35799: 0, 35770: 0, 42584: 0, 298: 0.3333333333333333, 299: 0.3333333333333333, 300: 0.3333333333333333, 35863: 0, 302: 0, 304: 0, 305: 0, 1092: 0, 306: 0, 1103: 0, 1156: 0, 1090: 0, 1100: 0, 1143: 0, 1101: 0, 1124: 0, 1157: 0, 1165: 0, 319: 0, 320: 0, 321: 0, 322: 0, 323: 0, 326: 0.16666666666666666, 3481: 0, 324: 0, 325: 0.1, 3479: 0, 3430: 0, 3432: 0, 4173: 0, 4175: 0.16666666666666666, 3434: 0, 3431: 0, 3475: 0, 3480: 0, 4181: 0, 3482: 0, 3369: 0, 3429: 0, 3415: 0, 3427: 0, 3416: 0, 3474: 0, 3476: 0, 3424: 0, 4178: 0, 4174: 0, 4179: 0, 4182: 0, 4132: 0, 36979: 0, 36980: 0, 328: 0.3333333333333333, 329: 0.3333333333333333, 330: 0.3333333333333333, 40094: 0, 11435: 0, 12041: 0, 11433: 0, 11434: 0, 12022: 0, 12058: 0, 331: 0.3333333333333333, 332: 0.3333333333333333, 333: 0.3333333333333333, 35734: 0, 404: 0, 36967: 0, 35731: 0, 35735: 0, 405: 0.3333333333333333, 334: 0, 335: 0, 337: 0, 336: 0, 12138: 0, 12176: 0, 12175: 0, 12202: 0, 12032: 0, 12033: 0, 36186: 0, 2202: 0, 42082: 0, 42081: 0, 42594: 0, 42595: 0, 345: 0.3333333333333333, 346: 0.1, 347: 0.16666666666666666, 3294: 0.3333333333333333, 349: 0.16666666666666666, 3290: 0, 3338: 0.3333333333333333, 348: 0, 3285: 0, 3339: 0, 3293: 0, 3319: 0, 3284: 0, 3286: 0, 3314: 0, 3340: 0, 3347: 0, 36261: 0, 382: 0.3333333333333333, 361: 0, 362: 0, 363: 0, 41760: 0, 364: 0, 41759: 0, 365: 0, 366: 0, 41758: 0, 41756: 0, 41757: 0, 42597: 0, 376: 0.3333333333333333, 377: 0.16666666666666666, 378: 0.16666666666666666, 16472: 0, 12226: 0, 12227: 0, 12230: 0, 12247: 0, 1176: 0, 37523: 0, 12225: 0, 16399: 0, 12228: 0, 12229: 0, 12231: 0, 12248: 0, 37522: 0, 393: 1.0, 468: 0, 394: 0, 395: 0, 396: 0, 7162: 0.16666666666666666, 399: 0, 42094: 0, 397: 0, 7163: 0.16666666666666666, 7184: 0, 7186: 1.0, 398: 0, 457: 0, 42329: 0, 3263: 0, 3261: 0, 3264: 0, 21184: 0, 3262: 0, 20839: 0, 456: 0, 459: 0.3333333333333333, 20849: 0, 41945: 0, 400: 0, 401: 0, 403: 0, 592: 0, 402: 0, 41613: 0, 450: 0, 591: 0, 2661: 0, 445: 0, 2625: 0, 42211: 0, 446: 0, 40748: 0, 449: 0, 451: 0, 411: 0.3333333333333333, 472: 0, 36193: 0, 406: 0, 407: 0, 408: 0, 6024: 0, 409: 0, 6025: 0, 36209: 0, 6300: 0, 6048: 0, 5636: 0, 6301: 0, 6049: 0, 36224: 0, 6302: 0, 5637: 0, 5638: 0, 473: 0, 35717: 0, 412: 0, 413: 0, 414: 0.3333333333333333, 683: 0, 418: 0, 755: 0, 7795: 0, 415: 0.3333333333333333, 682: 0.3333333333333333, 677: 0, 699: 0, 417: 0, 7794: 0, 756: 0, 758: 0, 7793: 0, 7792: 0, 416: 0, 681: 0, 1025: 0, 1024: 0, 7757: 0, 1023: 0, 7756: 0, 7755: 0, 7787: 0, 35405: 0, 35710: 0, 6769: 0, 6794: 0, 6798: 0, 427: 0, 35747: 0, 42052: 0, 35748: 0, 35749: 0, 42058: 0, 42053: 0, 42054: 0, 428: 0, 429: 0.16666666666666666, 430: 0, 7190: 0, 40005: 0, 431: 0.16666666666666666, 12629: 0.3333333333333333, 40022: 0, 5927: 0, 5970: 0, 611: 0, 7156: 0, 40006: 0, 5925: 0, 6855: 0, 40015: 0, 40017: 0, 40023: 0, 5928: 0, 5929: 0, 5971: 0, 7130: 0, 5926: 0, 436: 0, 437: 0, 439: 0.3333333333333333, 23898: 0, 438: 0.16666666666666666, 33468: 0, 20655: 0.3333333333333333, 23896: 0.16666666666666666, 23897: 0, 40853: 0, 15713: 0, 33467: 0, 33469: 0, 39690: 0, 39962: 0, 15712: 0, 15714: 0, 40848: 0, 39978: 0, 447: 0, 2648: 0, 40749: 0, 42208: 0, 448: 0, 2647: 0, 2649: 0, 2646: 0, 2934: 0, 2938: 0, 2652: 0, 458: 0.1, 21970: 0, 20811: 0, 20812: 0, 21121: 0.3333333333333333, 20869: 0, 21969: 0, 20848: 0, 21122: 0, 41944: 0, 42092: 0, 20813: 0, 20772: 0, 20803: 0, 42073: 0, 42596: 0, 463: 0, 464: 0, 467: 0, 20571: 0, 465: 0.16666666666666666, 5314: 0, 5315: 0, 466: 0.3333333333333333, 20718: 0, 25505: 0, 20572: 0, 20576: 0, 20725: 0, 40105: 0, 41916: 0.3333333333333333, 5312: 0, 42134: 0, 5313: 0, 41917: 0, 40104: 0, 40110: 0, 20554: 0, 20716: 0, 20723: 0, 20534: 0, 20556: 0, 35739: 0, 474: 0, 475: 0, 476: 0, 1594983: 0, 478: 0, 477: 0, 36977: 0, 36986: 0, 1594984: 0, 1610675: 0, 36978: 0, 1594985: 0, 35803: 0, 36976: 0, 35800: 0, 35809: 0, 35818: 0, 481: 0, 482: 0, 507: 0, 483: 0.3333333333333333, 506: 0, 21548: 0, 484: 0.16666666666666666, 4074: 0.16666666666666666, 5805: 0, 485: 0, 4040: 0, 4041: 0, 5937: 0, 486: 0, 4039: 0, 487: 0, 5809: 0, 488: 0, 489: 0, 5807: 0, 5943: 0, 490: 0, 5808: 0, 491: 0, 5951: 0, 492: 0, 4077: 0, 5948: 0, 493: 0, 4076: 0, 4075: 0, 5954: 0, 494: 0, 7131: 0, 5813: 0, 495: 0, 7133: 0, 7132: 0, 7152: 0, 496: 0, 7154: 0, 497: 0, 7145: 0, 7153: 0, 7161: 0, 7206: 0, 498: 0, 7142: 0, 7146: 0, 7207: 0, 499: 0, 7141: 0, 500: 0, 501: 0.2, 502: 0, 7164: 0.5, 7165: 0.3333333333333333, 23431: 0.3333333333333333, 7144: 0, 7166: 1.0, 7180: 0, 504: 0.3333333333333333, 505: 0.16666666666666666, 4044: 0.3333333333333333, 24013: 0, 24012: 0, 21549: 0, 24014: 0, 509: 0, 510: 0, 511: 0, 6685: 0, 513: 0, 6681: 0, 512: 0, 6684: 0, 6696: 0, 6679: 0, 6699: 0, 6616: 0, 6621: 0, 6682: 0, 6604: 0, 6683: 0, 6700: 0, 6963: 0, 6953: 0, 6605: 0, 6606: 0, 6620: 0, 6893: 0, 514: 0.16666666666666666, 515: 0.3333333333333333, 516: 0.2, 1119: 0, 5892: 0, 1120: 0, 5883: 0, 5884: 0.16666666666666666, 5894: 0.16666666666666666, 1118: 0, 5890: 0, 5896: 0, 5902: 0, 5874: 0, 5882: 0, 5893: 0, 5862: 0, 5854: 0, 5864: 0, 517: 0, 518: 0.16666666666666666, 519: 0.3333333333333333, 8146: 0, 520: 0.3333333333333333, 8154: 0, 8155: 0.16666666666666666, 8145: 0.16666666666666666, 8153: 0.2, 8137: 0, 8147: 0, 8156: 0, 8152: 0, 8157: 0, 8124: 0, 8148: 0, 8151: 0, 521: 0, 522: 0, 36982: 0, 36992: 0, 523: 0, 36983: 0, 36991: 0, 36993: 0, 524: 0, 526: 0, 36201: 0, 1166: 0, 36200: 0, 36202: 0, 1167: 0, 527: 0, 528: 0, 529: 0, 532: 0, 531: 0, 534: 0, 5432: 0, 530: 0, 5418: 0, 533: 0, 5444: 0, 5449: 0, 5421: 0, 5422: 0, 535: 0, 5433: 0, 5438: 0, 5423: 0, 5368: 0, 5417: 0, 5424: 0, 5367: 0, 5391: 0, 5420: 0, 5450: 0, 5445: 0, 5448: 0, 5443: 0, 5437: 0, 5442: 0, 7984: 0, 5431: 0, 5436: 0, 5447: 0, 536: 0, 537: 0, 541: 0, 542: 0, 538: 0.16666666666666666, 36981: 0, 540: 0, 543: 0, 539: 0, 36985: 0.3333333333333333, 1603443: 0.16666666666666666, 1603442: 0, 36984: 0, 1607299: 0, 1594982: 0, 1607298: 0, 1593601: 0, 544: 0, 545: 0, 546: 0, 4371: 0, 4373: 0, 547: 0, 4481: 0, 4372: 0, 4476: 0, 4487: 0, 4485: 0, 4480: 0, 4484: 0, 551: 0, 552: 0.3333333333333333, 553: 0, 559: 0.3333333333333333, 555: 0.3333333333333333, 556: 0.3333333333333333, 554: 0, 36197: 0, 558: 0.3333333333333333, 560: 0.16666666666666666, 557: 0, 1189: 0, 36196: 0, 36207: 0, 561: 0, 1187: 0, 1190: 0, 568: 0, 2023: 0, 2025: 0, 37003: 0, 2024: 0, 37015: 0, 37004: 0, 37005: 0, 573: 0, 562: 0.3333333333333333, 563: 0, 566: 0.3333333333333333, 567: 0.3333333333333333, 564: 0, 37017: 0, 565: 0.3333333333333333, 569: 0.3333333333333333, 37020: 0, 37016: 0, 37018: 0, 37019: 0, 579: 0, 577: 0, 578: 0, 570: 0, 571: 0, 572: 0, 589: 0, 574: 0, 580: 0, 575: 0, 587: 0, 576: 0, 588: 0, 590: 0, 581: 0.3333333333333333, 582: 0.3333333333333333, 583: 0, 22099: 0.3333333333333333, 586: 0.3333333333333333, 584: 0, 22098: 0, 21926: 0, 585: 0.13333333333333333, 944: 0.3333333333333333, 21927: 0, 22151: 0, 22105: 0, 22107: 0.6666666666666666, 22113: 0.6666666666666666, 31944: 0, 22108: 1.0, 17398: 0, 22106: 0, 2575: 0, 2653: 0, 2935: 0, 2660: 0, 2671: 0, 593: 0, 596: 0.3333333333333333, 594: 0.3333333333333333, 595: 0.3333333333333333, 36021: 0, 36020: 0, 36017: 0, 36022: 0, 597: 0.16666666666666666, 598: 0.3333333333333333, 599: 0.3333333333333333, 6851: 0, 7251: 0, 7066: 0, 6859: 0, 6007: 0, 7261: 0, 7250: 0, 7263: 0, 7068: 0, 7351: 0, 6858: 0, 7067: 0, 600: 0, 601: 0.16666666666666666, 603: 0, 663: 0, 3470: 0, 602: 0, 3484: 0.1, 3498: 0.16666666666666666, 664: 0, 665: 0, 3469: 0, 3473: 0, 3494: 0, 3452: 0, 3478: 0, 3497: 0, 3504: 0, 3453: 0, 3439: 0, 3451: 0, 604: 0, 605: 0, 606: 0, 676: 0, 36183: 0, 608: 0, 607: 0, 41826: 0, 675: 0, 695: 0, 36179: 0, 36182: 0, 36190: 0, 673: 0, 41825: 0, 41892: 0, 672: 0, 674: 0, 692: 0, 609: 0, 610: 0, 614: 0.3333333333333333, 40021: 0, 6013: 0, 613: 0.3333333333333333, 40010: 0.3333333333333333, 40020: 0, 612: 0, 7188: 0, 6012: 0, 6014: 0, 40004: 0, 7189: 0, 7192: 0, 40009: 0, 615: 0, 616: 0, 617: 0, 1494580: 0, 624: 0, 661: 0, 618: 0, 1494584: 0, 623: 0, 662: 0, 109371: 0, 619: 0, 37031: 0, 620: 0, 36225: 0, 37030: 0, 37033: 0, 1494587: 0, 621: 0, 836: 0, 834: 0, 622: 0, 768: 0, 109373: 0, 109372: 0, 139985: 0, 625: 0, 626: 0, 648: 0, 12653: 0, 627: 0, 639: 0, 12794: 0, 12654: 0, 12655: 0, 628: 0, 629: 0, 630: 0, 12608: 0, 631: 0, 12604: 0, 12607: 0}
Character Clustering_coeff
277 6772 1.0
795 393 1.0
170 1116 1.0
416 368 1.0
1068 7166 1.0
... ... ...
543 278 0.0
542 277 0.0
541 275 0.0
540 274 0.0
1410 12607 0.0
[1411 rows x 2 columns]
#Degree plot for undirected and unweighted graph
degrees = [G.degree(n) for n in G.nodes()]
plt.hist(degrees)
(array([441., 0., 164., 0., 486., 0., 299., 0., 17., 3.]), array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5, 6. ]), <BarContainer object of 10 artists>)
deg_centrality=nx.degree_centrality(G)
res = {key : round(deg_centrality[key], 3) for key in deg_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Degree Centrality"])
print(df.sort_values('Degree Centrality',ascending=False))
df.to_csv('Degree_Centrality.csv')
Character Degree Centrality 39 125 0.009 356 745 0.009 96 205 0.007 34 120 0.007 394 795 0.007 .. ... ... 322 617 0.002 321 616 0.002 141 268 0.002 319 611 0.002 375 753 0.002 [546 rows x 2 columns]
Closeness_centrality=nx.closeness_centrality(G)
res = {key : round(Closeness_centrality[key], 3) for key in Closeness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Closeness Centrality"])
print(df.sort_values('Closeness Centrality',ascending=False))
df.to_csv('Closeness_Centrality.csv')
Character Closeness Centrality 97 204 0.020 337 639 0.020 96 205 0.020 348 657 0.020 336 640 0.019 .. ... ... 305 596 0.002 318 609 0.002 319 611 0.002 321 616 0.002 117 221 0.002 [546 rows x 2 columns]
Betweenness_centrality=nx.betweenness_centrality(G)
res = {key : round(Betweenness_centrality[key], 3) for key in Betweenness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Betweenness Centrality"])
print(df.sort_values('Betweenness Centrality',ascending=False))
df.to_csv('Betweenness_Centrality.csv')
Character Betweenness Centrality 90 375 0.020 348 657 0.019 96 205 0.018 97 204 0.018 336 640 0.018 .. ... ... 224 756 0.000 223 413 0.000 222 755 0.000 221 472 0.000 273 541 0.000 [546 rows x 2 columns]
Katz_centrality=nx.katz_centrality(G,alpha=0.05, beta=1.0, max_iter=1000, tol=1e-02, nstart=None, normalized=True, weight=None)
res = {key : round(Katz_centrality[key], 3) for key in Katz_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Katz Centrality"])
print(df.sort_values('Katz Centrality',ascending=False))
df.to_csv('Katz_Centrality.csv')
Character Katz Centrality 356 745 0.050 39 125 0.050 34 120 0.048 185 345 0.048 353 800 0.048 .. ... ... 154 284 0.041 332 631 0.041 156 292 0.041 157 293 0.041 121 259 0.041 [546 rows x 2 columns]
When representing a network of roads as a graph, nodes typically correspond to intersections, and edges represent roads connecting them. This is a classic example of a spatial network, and analyzing how such a network clusters can reveal important insights about urban planning, traffic flow, and infrastructure efficiency. In graph theory terms, clustering refers to how densely nodes are connected within a local neighborhood.
Here’s how clustering works in a road network and some key observations that can be made:
The clustering coefficient is a measure of how likely it is that two neighbors of a given node are also neighbors of each other. In a road network:
In many real-world road networks, the clustering coefficient tends to be lower than in social networks but higher in more densely populated urban areas due to grid-like structures and complex intersection layouts.
Sparse clustering: In rural or highway networks, clustering is often sparse. Most intersections (nodes) connect to few neighbors, and there are fewer loops (triangles). Highways, for example, tend to be long, linear paths with little clustering.
Grid-like patterns: In urban areas, road networks often form a grid structure, which tends to increase local clustering around intersections. Intersections in city grids (like in New York City) may have relatively high clustering because roads often connect in closed loops.
Hierarchical Clustering: In road networks, larger roads (like highways) form a skeleton or backbone with low clustering, while smaller, local streets exhibit more clustering as they connect within neighborhoods. This results in a hierarchical structure, where central nodes (e.g., intersections at major roads) have lower clustering and peripheral nodes (e.g., neighborhood roads) have higher clustering.
Urban Planning: High clustering in urban areas can indicate a well-connected local road network, facilitating efficient intra-neighborhood movement but potentially creating traffic congestion at bottlenecks. Urban planners can use this information to identify and alleviate choke points.
Traffic Flow: High clustering can also influence traffic dynamics. In areas with many loops and connections (high clustering), there may be more opportunities for detours and alternate routes, potentially easing traffic congestion in the event of road closures.
Road Vulnerability and Robustness: Low clustering in highway networks makes them vulnerable to disconnection. A single broken link (e.g., a closed bridge) can cut off significant portions of the network. Highly clustered areas may be more robust since there are alternative routes available through neighboring intersections.
Road Hierarchy: In many cities, road networks are hierarchical, with major roads forming a backbone and minor roads forming clustered regions around this backbone. The clustering coefficient can be used to identify such hierarchies and design more effective traffic systems.
Scale-Free Nature: Some road networks exhibit scale-free properties, meaning a few intersections (hubs) have many connections, while most intersections have few connections. Hubs in such networks tend to have lower clustering, but their removal could cause severe disruptions, highlighting the importance of these nodes.
Another form of clustering is community detection, where groups of intersections and roads naturally form sub-networks with many internal connections but fewer connections to other parts of the graph. This is useful for: